68640
68,640 is an even composite number composed of five prime numbers multiplied together.
68640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 68640:
25 × 3 × 5 × 11 × 13
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13)See below for interesting mathematical facts about the number 68640 from the Numbermatics database.
Names of 68640
- Cardinal: 68640 can be written as Sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 6.864 × 104
Factors of 68640
Divisors of 68640
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 65 66 78 80 88 96 104 110 120 130 132 143 156 160 165 176 195 208 220 240 260 264 286 312 330 352 390 416 429 440 480 520 528 572 624 660 715 780 858 880 1040 1056 1144 1248 1320 1430 1560 1716 1760 2080 2145 2288 2640 2860 3120 3432 4290 4576 5280 5720 6240 6864 8580 11440 13728 17160 22880 34320 68640
- Sum of all divisors σ(n): 254016
- Sum of proper divisors (its aliquot sum) s(n): 185376
- 68640 is an abundant number, because the sum of its proper divisors (185376) is greater than itself. Its abundance is 116736
Bases of 68640
- Binary: 100001100001000002
- Hexadecimal: 0x10C20
- Base-36: 1GYO
Squares and roots of 68640
- 68640 squared (686402) is 4711449600
- 68640 cubed (686403) is 323393900544000
-
The
square root of 68640 is 261.9923663011 -
The
cube root of 68640 is 40.9442032999
Scales and comparisons
How big is 68640?- 68,640 seconds is equal to 19 hours, 4 minutes.
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To count from 1 to 68,640 would take you about nineteen 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 68640 cubic inches would be around 3.4 feet tall.
Recreational maths with 68640
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The information we have on file for 68640 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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