768968640
768,968,640 is an even composite number composed of six prime numbers multiplied together.
768968640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 768968640:
26 × 35 × 5 × 11 × 29 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 29 × 31)See below for interesting mathematical facts about the number 768968640 from the Numbermatics database.
Names of 768968640
- Cardinal: 768968640 can be written as Seven hundred sixty-eight million, nine hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 7.6896864 × 108
Factors of 768968640
Divisors of 768968640
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 31 32 33 36 40 44 45 48 54 55 58 60 62 64 66 72 80 81 87 88 90 93 96 99 108 110 116 120 124 132 135 144 145 155 160 162 165 174 176 180 186 192 198 216 220 232 240 243 248 261 264 270 279 288 290 297 310 319 320 324 330 341 348 352 360 372 396 405 432 435 440 464 465 480 486 495 496 522 528 540 558 576 580 594 620 638 648 660 682 696 704 720 744 783 792 810 837 864 870 880 891 899 928 930 957 960 972 990 992 1023 1044 1056 1080 1116 1160 1188 1215 1240 1276 1296 1305 1320 1364 1392 1395 1440 1485 1488 1566 1584 1595 1620 1674 1705 1728 1740 1760 1782 1798 1856 1860 1914 1944 1980 1984 2046 2088 2112 2160 2232 2320 2349 2376 2430 2480 2511 2552 2592 2610 2640 2673 2697 2728 2784 2790 2871 2880 2970 2976 3069 3132 3168 3190 3240 3348 3410 3480 3520 3564 3596 3720 3828 3888 3915 3960 4092 4176 4185 4320 4455 4464 4495 4640 4698 4752 4785 4860 4960 5022 5104 5115 5184 5220 5280 5346 5394 5456 5568 5580 5742 5940 5952 6138 6264 6336 6380 6480 6696 6820 6960 7047 7128 7192 7440 7533 7656 7776 7830 7920 8091 8184 8352 8370 8613 8640 8910 8928 8990 9207 9280 9396 9504 9570 9720 9889 9920 10044 10208 10230 10440 10560 10692 10788 10912 11160 11484 11745 11880 12276 12528 12555 12760 12960 13365 13392 13485 13640 13920 14094 14256 14355 14384 14880 15066 15312 15345 15552 15660 15840 16182 16368 16704 16740 17226 17820 17856 17980 18414 18792 19008 19140 19440 19778 20088 20416 20460 20880 21384 21576 21824 22320 22968 23490 23760 24273 24552 25056 25110 25520 25839 25920 26730 26784 26970 27280 27621 27840 28188 28512 28710 28768 29667 29760 30132 30624 30690 31320 31680 32364 32736 33480 34452 35235 35640 35960 36828 37584 37665 38280 38880 39556 40176 40455 40920 41760 42768 43065 43152 44640 45936 46035 46980 47520 48546 49104 49445 50112 50220 51040 51678 53460 53568 53940 54560 55242 56376 57024 57420 57536 59334 60264 61248 61380 62640 64728 65472 66960 68904 70470 71280 71920 72819 73656 75168 75330 76560 77517 77760 79112 80352 80910 81840 82863 83520 85536 86130 86304 89001 89280 91872 92070 93960 95040 97092 98208 98890 100440 102080 103356 106920 107880 109120 110484 112752 114840 118668 120528 121365 122760 125280 129195 129456 133920 137808 138105 140940 142560 143840 145638 147312 148335 150336 150660 153120 155034 158224 160704 161820 163680 165726 171072 172260 172608 178002 183744 184140 187920 194184 196416 197780 200880 206712 213840 215760 218457 220968 225504 229680 237336 241056 242730 245520 250560 258390 258912 267003 267840 275616 276210 281880 285120 287680 291276 294624 296670 301320 306240 310068 316448 323640 327360 331452 344520 356004 364095 368280 375840 387585 388368 395560 401760 413424 414315 427680 431520 436914 441936 445005 451008 459360 474672 482112 485460 491040 516780 517824 534006 551232 552420 563760 582552 589248 593340 602640 620136 632896 647280 662904 689040 712008 728190 736560 751680 775170 776736 791120 801009 803520 826848 828630 855360 863040 873828 883872 890010 918720 949344 970920 982080 1033560 1068012 1092285 1104840 1127520 1165104 1186680 1205280 1240272 1294560 1325808 1335015 1378080 1424016 1456380 1473120 1550340 1553472 1582240 1602018 1653696 1657260 1747656 1767744 1780020 1898688 1941840 2067120 2136024 2184570 2209680 2255040 2330208 2373360 2403027 2410560 2480544 2589120 2651616 2670030 2756160 2848032 2912760 2946240 3100680 3164480 3204036 3314520 3495312 3560040 3883680 4005045 4134240 4272048 4369140 4419360 4660416 4746720 4806054 4961088 5303232 5340060 5696064 5825520 6201360 6408072 6629040 6990624 7120080 7767360 8010090 8268480 8544096 8738280 8838720 9493440 9612108 10680120 11651040 12015135 12402720 12816144 13258080 13981248 14240160 16020180 17088192 17476560 19224216 21360240 23302080 24030270 24805440 25632288 26516160 28480320 32040360 34953120 38448432 42720480 48060540 51264576 64080720 69906240 76896864 85440960 96121080 128161440 153793728 192242160 256322880 384484320 768968640
- Sum of all divisors σ(n): 3195279360
- Sum of proper divisors (its aliquot sum) s(n): 2426310720
- 768968640 is an abundant number, because the sum of its proper divisors (2426310720) is greater than itself. Its abundance is 1657342080
Bases of 768968640
- Binary: 1011011101010110000111110000002
- Hexadecimal: 0x2DD587C0
- Base-36: CPTO00
Squares and roots of 768968640
- 768968640 squared (7689686402) is 591312769303449600
- 768968640 cubed (7689686403) is 454700976025907386220544000
-
The
square root of 768968640 is 27730.2838066977 -
The
cube root of 768968640 is 916.1562378501
Scales and comparisons
How big is 768968640?- 768,968,640 seconds is equal to 24 years, 23 weeks, 3 days, 2 hours, 24 minutes.
-
To count from 1 to 768,968,640 would take you about thirty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 768968640 cubic inches would be around 76.3 feet tall.
Recreational maths with 768968640
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 768968640 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 768968640 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/768968640/
Chicago style:
Numbermatics. 2024. "Number 768968640 - Facts about the integer". https://numbermatics.com/n/768968640/
The information we have on file for 768968640 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 768968640, math, Factors of 768968640, curriculum, school, college, exams, university, Prime factorization of 768968640, STEM, science, technology, engineering, physics, economics, calculator, seven hundred sixty-eight million, nine hundred sixty-eight thousand, six hundred forty.