85440960
85,440,960 is an even composite number composed of six prime numbers multiplied together.
85440960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 85440960:
26 × 33 × 5 × 11 × 29 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 29 × 31)See below for interesting mathematical facts about the number 85440960 from the Numbermatics database.
Names of 85440960
- Cardinal: 85440960 can be written as Eighty-five million, four hundred forty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 8.544096 × 107
Factors of 85440960
Divisors of 85440960
- Number of divisors d(n): 448
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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 87 88 90 93 96 99 108 110 116 120 124 132 135 144 145 155 160 165 174 176 180 186 192 198 216 220 232 240 248 261 264 270 279 288 290 297 310 319 320 330 341 348 352 360 372 396 432 435 440 464 465 480 495 496 522 528 540 558 576 580 594 620 638 660 682 696 704 720 744 783 792 837 864 870 880 899 928 930 957 960 990 992 1023 1044 1056 1080 1116 1160 1188 1240 1276 1305 1320 1364 1392 1395 1440 1485 1488 1566 1584 1595 1674 1705 1728 1740 1760 1798 1856 1860 1914 1980 1984 2046 2088 2112 2160 2232 2320 2376 2480 2552 2610 2640 2697 2728 2784 2790 2871 2880 2970 2976 3069 3132 3168 3190 3348 3410 3480 3520 3596 3720 3828 3915 3960 4092 4176 4185 4320 4464 4495 4640 4752 4785 4960 5104 5115 5220 5280 5394 5456 5568 5580 5742 5940 5952 6138 6264 6336 6380 6696 6820 6960 7192 7440 7656 7830 7920 8091 8184 8352 8370 8613 8640 8928 8990 9207 9280 9504 9570 9889 9920 10208 10230 10440 10560 10788 10912 11160 11484 11880 12276 12528 12760 13392 13485 13640 13920 14355 14384 14880 15312 15345 15660 15840 16182 16368 16704 16740 17226 17856 17980 18414 19008 19140 19778 20416 20460 20880 21576 21824 22320 22968 23760 24273 24552 25056 25520 26784 26970 27280 27840 28710 28768 29667 29760 30624 30690 31320 31680 32364 32736 33480 34452 35960 36828 38280 39556 40455 40920 41760 43065 43152 44640 45936 46035 47520 48546 49104 49445 50112 51040 53568 53940 54560 57420 57536 59334 61248 61380 62640 64728 65472 66960 68904 71920 73656 76560 79112 80910 81840 83520 86130 86304 89001 89280 91872 92070 95040 97092 98208 98890 102080 107880 109120 114840 118668 121365 122760 125280 129456 133920 137808 143840 147312 148335 153120 158224 161820 163680 172260 172608 178002 183744 184140 194184 196416 197780 215760 229680 237336 242730 245520 250560 258912 267003 267840 275616 287680 294624 296670 306240 316448 323640 327360 344520 356004 368280 388368 395560 431520 445005 459360 474672 485460 491040 517824 534006 551232 589248 593340 632896 647280 689040 712008 736560 776736 791120 863040 890010 918720 949344 970920 982080 1068012 1186680 1294560 1335015 1378080 1424016 1473120 1553472 1582240 1780020 1898688 1941840 2136024 2373360 2589120 2670030 2756160 2848032 2946240 3164480 3560040 3883680 4272048 4746720 5340060 5696064 7120080 7767360 8544096 9493440 10680120 14240160 17088192 21360240 28480320 42720480 85440960
- Sum of all divisors σ(n): 351129600
- Sum of proper divisors (its aliquot sum) s(n): 265688640
- 85440960 is an abundant number, because the sum of its proper divisors (265688640) is greater than itself. Its abundance is 180247680
Bases of 85440960
- Binary: 1010001011110111001110000002
- Hexadecimal: 0x517B9C0
- Base-36: 1EVAO0
Squares and roots of 85440960
- 85440960 squared (854409602) is 7300157645721600
- 85440960 cubed (854409603) is 623732477401793396736000
-
The
square root of 85440960 is 9243.4279355659 -
The
cube root of 85440960 is 440.4419801247
Scales and comparisons
How big is 85440960?- 85,440,960 seconds is equal to 2 years, 37 weeks, 1 day, 21 hours, 36 minutes.
-
To count from 1 to 85,440,960 would take you about four 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 85440960 cubic inches would be around 36.7 feet tall.
Recreational maths with 85440960
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