680368920
680,368,920 is an even composite number composed of seven prime numbers multiplied together.
680368920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 680368920:
23 × 3 × 5 × 72 × 11 × 67 × 157
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 67 × 157)See below for interesting mathematical facts about the number 680368920 from the Numbermatics database.
Names of 680368920
- Cardinal: 680368920 can be written as Six hundred eighty million, three hundred sixty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 6.8036892 × 108
Factors of 680368920
Divisors of 680368920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 49 55 56 60 66 67 70 77 84 88 98 105 110 120 132 134 140 147 154 157 165 168 196 201 210 220 231 245 264 268 280 294 308 314 330 335 385 392 402 420 440 462 469 471 490 536 539 588 616 628 660 670 735 737 770 785 804 840 924 938 942 980 1005 1078 1099 1155 1176 1256 1320 1340 1407 1470 1474 1540 1570 1608 1617 1727 1848 1876 1884 1960 2010 2156 2198 2211 2310 2345 2355 2680 2695 2814 2940 2948 3080 3140 3234 3283 3297 3454 3685 3752 3768 4020 4312 4396 4422 4620 4690 4710 5159 5181 5390 5495 5628 5880 5896 6280 6468 6566 6594 6908 7035 7370 7693 8040 8085 8635 8792 8844 9240 9380 9420 9849 10318 10362 10519 10780 10990 11055 11256 12089 12936 13132 13188 13816 14070 14740 15386 15477 16170 16415 16485 17270 17688 18760 18840 19698 20636 20724 21038 21560 21980 22110 23079 24178 25795 25905 26264 26376 28140 29480 30772 30954 31557 32340 32830 32970 34540 36113 36267 38465 39396 41272 41448 42076 43960 44220 46158 48356 49245 51590 51810 52595 56280 60445 61544 61908 63114 64680 65660 65940 69080 72226 72534 73633 76930 77385 78792 84152 84623 88440 92316 96712 98490 103180 103620 105190 108339 115395 115709 120890 123816 126228 131320 131880 144452 145068 147266 153860 154770 157785 169246 180565 181335 184632 196980 206360 207240 210380 216678 220899 230790 231418 241780 252456 253869 288904 290136 294532 307720 309540 315570 338492 347127 361130 362670 368165 393960 420760 423115 433356 441798 461580 462836 483560 507738 515431 541695 578545 589064 619080 631140 676984 694254 722260 725340 736330 809963 846230 866712 883596 923160 925672 1015476 1030862 1083390 1104495 1157090 1262280 1269345 1388508 1444520 1450680 1472660 1546293 1619926 1692460 1735635 1767192 2030952 2061724 2166780 2208990 2314180 2429889 2538690 2577155 2777016 2945320 3092586 3239852 3384920 3471270 4049815 4123448 4333560 4417980 4628360 4859778 5077380 5154310 5669741 6185172 6479704 6942540 7731465 8099630 8835960 9719556 10154760 10308620 11339482 12149445 12370344 13885080 15462930 16199260 17009223 19439112 20617240 22678964 24298890 28348705 30925860 32398520 34018446 45357928 48597780 56697410 61851720 68036892 85046115 97195560 113394820 136073784 170092230 226789640 340184460 680368920
- Sum of all divisors σ(n): 2645602560
- Sum of proper divisors (its aliquot sum) s(n): 1965233640
- 680368920 is an abundant number, because the sum of its proper divisors (1965233640) is greater than itself. Its abundance is 1284864720
Bases of 680368920
- Binary: 1010001000110110011011000110002
- Hexadecimal: 0x288D9B18
- Base-36: B92O0O
Squares and roots of 680368920
- 680368920 squared (6803689202) is 462901867301966400
- 680368920 cubed (6803689203) is 314944043522222193444288000
-
The
square root of 680368920 is 26083.8823797379 -
The
cube root of 680368920 is 879.5249329757
Scales and comparisons
How big is 680368920?- 680,368,920 seconds is equal to 21 years, 32 weeks, 6 days, 15 hours, 22 minutes.
-
To count from 1 to 680,368,920 would take you about thirty-two 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 680368920 cubic inches would be around 73.3 feet tall.
Recreational maths with 680368920
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