12648768
12,648,768 is an even composite number composed of five prime numbers multiplied together.
12648768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 12648768:
26 × 3 × 11 × 53 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 53 × 113)See below for interesting mathematical facts about the number 12648768 from the Numbermatics database.
Names of 12648768
- Cardinal: 12648768 can be written as Twelve million, six hundred forty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.2648768 × 107
Factors of 12648768
Divisors of 12648768
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 113 132 159 176 192 212 226 264 318 339 352 424 452 528 583 636 678 704 848 904 1056 1166 1243 1272 1356 1696 1749 1808 2112 2332 2486 2544 2712 3392 3498 3616 3729 4664 4972 5088 5424 5989 6996 7232 7458 9328 9944 10176 10848 11978 13992 14916 17967 18656 19888 21696 23956 27984 29832 35934 37312 39776 47912 55968 59664 65879 71868 79552 95824 111936 119328 131758 143736 191648 197637 238656 263516 287472 383296 395274 527032 574944 790548 1054064 1149888 1581096 2108128 3162192 4216256 6324384 12648768
- Sum of all divisors σ(n): 37526976
- Sum of proper divisors (its aliquot sum) s(n): 24878208
- 12648768 is an abundant number, because the sum of its proper divisors (24878208) is greater than itself. Its abundance is 12229440
Bases of 12648768
- Binary: 1100000100000001010000002
- Hexadecimal: 0xC10140
- Base-36: 7J3UO
Squares and roots of 12648768
- 12648768 squared (126487682) is 159991331917824
- 12648768 cubed (126487683) is 2023693239439550840832
-
The
square root of 12648768 is 3556.5106494991 -
The
cube root of 12648768 is 232.9965062995
Scales and comparisons
How big is 12648768?- 12,648,768 seconds is equal to 20 weeks, 6 days, 9 hours, 32 minutes, 48 seconds.
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To count from 1 to 12,648,768 would take you about thirty-one 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 12648768 cubic inches would be around 19.4 feet tall.
Recreational maths with 12648768
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