38640
38,640 is an even composite number composed of five prime numbers multiplied together.
38640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 38640:
24 × 3 × 5 × 7 × 23
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 23)See below for interesting mathematical facts about the number 38640 from the Numbermatics database.
Names of 38640
- Cardinal: 38640 can be written as Thirty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.864 × 104
Factors of 38640
Divisors of 38640
- Number of divisors d(n): 80
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640
- Sum of all divisors σ(n): 142848
- Sum of proper divisors (its aliquot sum) s(n): 104208
- 38640 is an abundant number, because the sum of its proper divisors (104208) is greater than itself. Its abundance is 65568
Bases of 38640
- Binary: 10010110111100002
- Hexadecimal: 0x96F0
- Base-36: TTC
Squares and roots of 38640
- 38640 squared (386402) is 1493049600
- 38640 cubed (386403) is 57691436544000
-
The
square root of 38640 is 196.5705980049 -
The
cube root of 38640 is 33.8074467445
Scales and comparisons
How big is 38640?- 38,640 seconds is equal to 10 hours, 44 minutes.
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To count from 1 to 38,640 would take you about ten 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 38640 cubic inches would be around 2.8 feet tall.
Recreational maths with 38640
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The information we have on file for 38640 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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