972065920
972,065,920 is an even composite number composed of five prime numbers multiplied together.
972065920 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 972065920:
27 × 5 × 72 × 139 × 223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 139 × 223)See below for interesting mathematical facts about the number 972065920 from the Numbermatics database.
Names of 972065920
- Cardinal: 972065920 can be written as Nine hundred seventy-two million, sixty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.7206592 × 108
Factors of 972065920
Divisors of 972065920
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 139 140 160 196 223 224 245 278 280 320 392 446 448 490 556 560 640 695 784 892 896 973 980 1112 1115 1120 1390 1561 1568 1784 1946 1960 2224 2230 2240 2780 3122 3136 3568 3892 3920 4448 4460 4480 4865 5560 6244 6272 6811 7136 7784 7805 7840 8896 8920 9730 10927 11120 12488 13622 14272 15568 15610 15680 17792 17840 19460 21854 22240 24976 27244 28544 30997 31136 31220 31360 34055 35680 38920 43708 44480 49952 54488 54635 61994 62272 62440 68110 71360 77840 87416 88960 99904 108976 109270 123988 124544 124880 136220 142720 154985 155680 174832 199808 216979 217952 218540 247976 249760 272440 309970 311360 349664 433958 435904 437080 495952 499520 544880 619940 622720 699328 867916 871808 874160 991904 999040 1084895 1089760 1239880 1398656 1518853 1735832 1748320 1983808 2169790 2179520 2479760 3037706 3471664 3496640 3967616 4339580 4359040 4959520 6075412 6943328 6993280 7594265 8679160 9919040 12150824 13886656 15188530 17358320 19838080 24301648 27773312 30377060 34716640 48603296 60754120 69433280 97206592 121508240 138866560 194413184 243016480 486032960 972065920
- Sum of all divisors σ(n): 2734905600
- Sum of proper divisors (its aliquot sum) s(n): 1762839680
- 972065920 is an abundant number, because the sum of its proper divisors (1762839680) is greater than itself. Its abundance is 790773760
Bases of 972065920
- Binary: 1110011111000010001100100000002
- Hexadecimal: 0x39F08C80
- Base-36: G2QQV4
Squares and roots of 972065920
- 972065920 squared (9720659202) is 944912152825446400
- 972065920 cubed (9720659203) is 918516901155448154226688000
-
The
square root of 972065920 is 31177.9717108087 -
The
cube root of 972065920 is 990.6005674795
Scales and comparisons
How big is 972065920?- 972,065,920 seconds is equal to 30 years, 47 weeks, 1 day, 18 hours, 18 minutes, 40 seconds.
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To count from 1 to 972,065,920 would take you about forty-six years!
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 972065920 cubic inches would be around 82.6 feet tall.
Recreational maths with 972065920
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