10007296
10,007,296 is an even composite number composed of four prime numbers multiplied together.
What does the number 10007296 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.
10007296 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 10007296:
28 × 13 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 31 × 97)See below for interesting mathematical facts about the number 10007296 from the Numbermatics database.
Names of 10007296
- Cardinal: 10007296 can be written as Ten million, seven thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.0007296 × 107
Factors of 10007296
Divisors of 10007296
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 8 13 16 26 31 32 52 62 64 97 104 124 128 194 208 248 256 388 403 416 496 776 806 832 992 1261 1552 1612 1664 1984 2522 3007 3104 3224 3328 3968 5044 6014 6208 6448 7936 10088 12028 12416 12896 20176 24056 24832 25792 39091 40352 48112 51584 78182 80704 96224 103168 156364 161408 192448 312728 322816 384896 625456 769792 1250912 2501824 5003648 10007296
- Sum of all divisors σ(n): 22434944
- Sum of proper divisors (its aliquot sum) s(n): 12427648
- 10007296 is an abundant number, because the sum of its proper divisors (12427648) is greater than itself. Its abundance is 2420352
Bases of 10007296
- Binary: 1001100010110011000000002
- Hexadecimal: 0x98B300
- Base-36: 5YHOG
Squares and roots of 10007296
- 10007296 squared (100072962) is 100145973231616
- 10007296 cubed (100072963) is 1002190397336857870336
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The
square root of 10007296 is 3163.4310487189 -
The
cube root of 10007296 is 215.4958521173
Scales and comparisons
How big is 10007296?- 10,007,296 seconds is equal to 16 weeks, 3 days, 19 hours, 48 minutes, 16 seconds.
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To count from 1 to 10,007,296 would take you about twenty-four weeks!
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 10007296 cubic inches would be around 18 feet tall.
Recreational maths with 10007296
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The information we have on file for 10007296 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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