85680
85,680 is an even composite number composed of five prime numbers multiplied together.
85680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 85680:
24 × 32 × 5 × 7 × 17
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 17)See below for interesting mathematical facts about the number 85680 from the Numbermatics database.
Names of 85680
- Cardinal: 85680 can be written as Eighty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 8.568 × 104
Factors of 85680
Divisors of 85680
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 28 30 34 35 36 40 42 45 48 51 56 60 63 68 70 72 80 84 85 90 102 105 112 119 120 126 136 140 144 153 168 170 180 204 210 238 240 252 255 272 280 306 315 336 340 357 360 408 420 476 504 510 560 595 612 630 680 714 720 765 816 840 952 1008 1020 1071 1190 1224 1260 1360 1428 1530 1680 1785 1904 2040 2142 2380 2448 2520 2856 3060 3570 4080 4284 4760 5040 5355 5712 6120 7140 8568 9520 10710 12240 14280 17136 21420 28560 42840 85680
- Sum of all divisors σ(n): 348192
- Sum of proper divisors (its aliquot sum) s(n): 262512
- 85680 is an abundant number, because the sum of its proper divisors (262512) is greater than itself. Its abundance is 176832
Bases of 85680
- Binary: 101001110101100002
- Hexadecimal: 0x14EB0
- Base-36: 1U40
Squares and roots of 85680
- 85680 squared (856802) is 7341062400
- 85680 cubed (856803) is 628982226432000
-
The
square root of 85680 is 292.7114620237 -
The
cube root of 85680 is 44.0852342317
Scales and comparisons
How big is 85680?- 85,680 seconds is equal to 23 hours, 48 minutes.
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To count from 1 to 85,680 would take you about twenty-three hours.
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 85680 cubic inches would be around 3.7 feet tall.
Recreational maths with 85680
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The information we have on file for 85680 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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