12312960
12,312,960 is an even composite number composed of five prime numbers multiplied together.
12312960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 12312960:
27 × 3 × 5 × 112 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 53)See below for interesting mathematical facts about the number 12312960 from the Numbermatics database.
Names of 12312960
- Cardinal: 12312960 can be written as Twelve million, three hundred twelve thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.231296 × 107
Factors of 12312960
Divisors of 12312960
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 53 55 60 64 66 80 88 96 106 110 120 121 128 132 159 160 165 176 192 212 220 240 242 264 265 318 320 330 352 363 384 424 440 480 484 528 530 583 605 636 640 660 704 726 795 848 880 960 968 1056 1060 1166 1210 1272 1320 1408 1452 1590 1696 1749 1760 1815 1920 1936 2112 2120 2332 2420 2544 2640 2904 2915 3180 3392 3498 3520 3630 3872 4224 4240 4664 4840 5088 5280 5808 5830 6360 6413 6784 6996 7040 7260 7744 8480 8745 9328 9680 10176 10560 11616 11660 12720 12826 13992 14520 15488 16960 17490 18656 19239 19360 20352 21120 23232 23320 25440 25652 27984 29040 32065 33920 34980 37312 38478 38720 46464 46640 50880 51304 55968 58080 64130 69960 74624 76956 77440 93280 96195 101760 102608 111936 116160 128260 139920 153912 186560 192390 205216 223872 232320 256520 279840 307824 373120 384780 410432 513040 559680 615648 769560 820864 1026080 1119360 1231296 1539120 2052160 2462592 3078240 4104320 6156480 12312960
- Sum of all divisors σ(n): 43953840
- Sum of proper divisors (its aliquot sum) s(n): 31640880
- 12312960 is an abundant number, because the sum of its proper divisors (31640880) is greater than itself. Its abundance is 19327920
Bases of 12312960
- Binary: 1011101111100001100000002
- Hexadecimal: 0xBBE180
- Base-36: 7BWQO
Squares and roots of 12312960
- 12312960 squared (123129602) is 151608983961600
- 12312960 cubed (123129603) is 1866755355159822336000
-
The
square root of 12312960 is 3508.9827585783 -
The
cube root of 12312960 is 230.9160692819
Scales and comparisons
How big is 12312960?- 12,312,960 seconds is equal to 20 weeks, 2 days, 12 hours, 16 minutes.
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To count from 1 to 12,312,960 would take you about thirty 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 12312960 cubic inches would be around 19.2 feet tall.
Recreational maths with 12312960
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The information we have on file for 12312960 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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