13507968
13,507,968 is an even composite number composed of four prime numbers multiplied together.
What does the number 13507968 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 64 divisors.
13507968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 13507968:
27 × 3 × 29 × 1213
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 29 × 1213)See below for interesting mathematical facts about the number 13507968 from the Numbermatics database.
Names of 13507968
- Cardinal: 13507968 can be written as Thirteen million, five hundred seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3507968 × 107
Factors of 13507968
Divisors of 13507968
- Number of divisors d(n): 64
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1213 1392 1856 2426 2784 3639 3712 4852 5568 7278 9704 11136 14556 19408 29112 35177 38816 58224 70354 77632 105531 116448 140708 155264 211062 232896 281416 422124 465792 562832 844248 1125664 1688496 2251328 3376992 4502656 6753984 13507968
- Sum of all divisors σ(n): 37148400
- Sum of proper divisors (its aliquot sum) s(n): 23640432
- 13507968 is an abundant number, because the sum of its proper divisors (23640432) is greater than itself. Its abundance is 10132464
Bases of 13507968
- Binary: 1100111000011101100000002
- Hexadecimal: 0xCE1D80
- Base-36: 81ITC
Squares and roots of 13507968
- 13507968 squared (135079682) is 182465199489024
- 13507968 cubed (135079683) is 2464734075811352543232
-
The
square root of 13507968 is 3675.3187616859 -
The
cube root of 13507968 is 238.1569945505
Scales and comparisons
How big is 13507968?- 13,507,968 seconds is equal to 22 weeks, 2 days, 8 hours, 12 minutes, 48 seconds.
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To count from 1 to 13,507,968 would take you about thirty-three 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 13507968 cubic inches would be around 19.8 feet tall.
Recreational maths with 13507968
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The information we have on file for 13507968 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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