85968960
85,968,960 is an even composite number composed of six prime numbers multiplied together.
85968960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 85968960:
26 × 3 × 5 × 7 × 11 × 1163
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 1163)See below for interesting mathematical facts about the number 85968960 from the Numbermatics database.
Names of 85968960
- Cardinal: 85968960 can be written as Eighty-five million, nine hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 8.596896 × 107
Factors of 85968960
Divisors of 85968960
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 70 77 80 84 88 96 105 110 112 120 132 140 154 160 165 168 176 192 210 220 224 231 240 264 280 308 320 330 336 352 385 420 440 448 462 480 528 560 616 660 672 704 770 840 880 924 960 1056 1120 1155 1163 1232 1320 1344 1540 1680 1760 1848 2112 2240 2310 2326 2464 2640 3080 3360 3489 3520 3696 4620 4652 4928 5280 5815 6160 6720 6978 7392 8141 9240 9304 10560 11630 12320 12793 13956 14784 16282 17445 18480 18608 23260 24423 24640 25586 27912 32564 34890 36960 37216 38379 40705 46520 48846 51172 55824 63965 65128 69780 73920 74432 76758 81410 89551 93040 97692 102344 111648 122115 127930 130256 139560 153516 162820 179102 186080 191895 195384 204688 223296 244230 255860 260512 268653 279120 307032 325640 358204 372160 383790 390768 409376 447755 488460 511720 521024 537306 558240 614064 651280 716408 767580 781536 818752 895510 976920 1023440 1074612 1116480 1228128 1302560 1343265 1432816 1535160 1563072 1791020 1953840 2046880 2149224 2456256 2605120 2686530 2865632 3070320 3582040 3907680 4093760 4298448 5373060 5731264 6140640 7164080 7815360 8596896 10746120 12281280 14328160 17193792 21492240 28656320 42984480 85968960
- Sum of all divisors σ(n): 340595712
- Sum of proper divisors (its aliquot sum) s(n): 254626752
- 85968960 is an abundant number, because the sum of its proper divisors (254626752) is greater than itself. Its abundance is 168657792
Bases of 85968960
- Binary: 1010001111111001000010000002
- Hexadecimal: 0x51FC840
- Base-36: 1F6M2O
Squares and roots of 85968960
- 85968960 squared (859689602) is 7390662083481600
- 85968960 cubed (859689603) is 635367533028346331136000
-
The
square root of 85968960 is 9271.9447798183 -
The
cube root of 85968960 is 441.3473849259
Scales and comparisons
How big is 85968960?- 85,968,960 seconds is equal to 2 years, 38 weeks, 1 day, 16 minutes.
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To count from 1 to 85,968,960 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 85968960 cubic inches would be around 36.8 feet tall.
Recreational maths with 85968960
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The information we have on file for 85968960 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!
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