12973968
12,973,968 is an even composite number composed of five prime numbers multiplied together.
12973968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 12973968:
24 × 32 × 7 × 61 × 211
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 61 × 211)See below for interesting mathematical facts about the number 12973968 from the Numbermatics database.
Names of 12973968
- Cardinal: 12973968 can be written as Twelve million, nine hundred seventy-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.2973968 × 107
Factors of 12973968
Divisors of 12973968
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 72 84 112 122 126 144 168 183 211 244 252 336 366 422 427 488 504 549 633 732 844 854 976 1008 1098 1266 1281 1464 1477 1688 1708 1899 2196 2532 2562 2928 2954 3376 3416 3798 3843 4392 4431 5064 5124 5908 6832 7596 7686 8784 8862 10128 10248 11816 12871 13293 15192 15372 17724 20496 23632 25742 26586 30384 30744 35448 38613 51484 53172 61488 70896 77226 90097 102968 106344 115839 154452 180194 205936 212688 231678 270291 308904 360388 463356 540582 617808 720776 810873 926712 1081164 1441552 1621746 1853424 2162328 3243492 4324656 6486984 12973968
- Sum of all divisors σ(n): 42376256
- Sum of proper divisors (its aliquot sum) s(n): 29402288
- 12973968 is an abundant number, because the sum of its proper divisors (29402288) is greater than itself. Its abundance is 16428320
Bases of 12973968
- Binary: 1100010111110111100100002
- Hexadecimal: 0xC5F790
- Base-36: 7Q2S0
Squares and roots of 12973968
- 12973968 squared (129739682) is 168323845665024
- 12973968 cubed (129739683) is 2183828187294960095232
-
The
square root of 12973968 is 3601.9394775591 -
The
cube root of 12973968 is 234.9764153183
Scales and comparisons
How big is 12973968?- 12,973,968 seconds is equal to 21 weeks, 3 days, 3 hours, 52 minutes, 48 seconds.
-
To count from 1 to 12,973,968 would take you about thirty-two 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 12973968 cubic inches would be around 19.6 feet tall.
Recreational maths with 12973968
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