9972768
9,972,768 is an even composite number composed of five prime numbers multiplied together.
9972768 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 9972768:
25 × 3 × 13 × 61 × 131
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 61 × 131)See below for interesting mathematical facts about the number 9972768 from the Numbermatics database.
Names of 9972768
- Cardinal: 9972768 can be written as Nine million, nine hundred seventy-two thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 9.972768 × 106
Factors of 9972768
Divisors of 9972768
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 131 156 183 208 244 262 312 366 393 416 488 524 624 732 786 793 976 1048 1248 1464 1572 1586 1703 1952 2096 2379 2928 3144 3172 3406 4192 4758 5109 5856 6288 6344 6812 7991 9516 10218 12576 12688 13624 15982 19032 20436 23973 25376 27248 31964 38064 40872 47946 54496 63928 76128 81744 95892 103883 127856 163488 191784 207766 255712 311649 383568 415532 623298 767136 831064 1246596 1662128 2493192 3324256 4986384 9972768
- Sum of all divisors σ(n): 28873152
- Sum of proper divisors (its aliquot sum) s(n): 18900384
- 9972768 is an abundant number, because the sum of its proper divisors (18900384) is greater than itself. Its abundance is 8927616
Bases of 9972768
- Binary: 1001100000101100001000002
- Hexadecimal: 0x982C20
- Base-36: 5XR1C
Squares and roots of 9972768
- 9972768 squared (99727682) is 99456101581824
- 9972768 cubed (99727683) is 991852627259963768832
-
The
square root of 9972768 is 3157.9689675487 -
The
cube root of 9972768 is 215.2477259947
Scales and comparisons
How big is 9972768?- 9,972,768 seconds is equal to 16 weeks, 3 days, 10 hours, 12 minutes, 48 seconds.
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To count from 1 to 9,972,768 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 9972768 cubic inches would be around 17.9 feet tall.
Recreational maths with 9972768
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The information we have on file for 9972768 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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