97968640
97,968,640 is an even composite number composed of five prime numbers multiplied together.
97968640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 97968640:
29 × 5 × 72 × 11 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 71)See below for interesting mathematical facts about the number 97968640 from the Numbermatics database.
Names of 97968640
- Cardinal: 97968640 can be written as Ninety-seven million, nine hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 9.796864 × 107
Factors of 97968640
Divisors of 97968640
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 64 70 71 77 80 88 98 110 112 128 140 142 154 160 176 196 220 224 245 256 280 284 308 320 352 355 385 392 440 448 490 497 512 539 560 568 616 640 704 710 770 781 784 880 896 980 994 1078 1120 1136 1232 1280 1408 1420 1540 1562 1568 1760 1792 1960 1988 2156 2240 2272 2464 2485 2560 2695 2816 2840 3080 3124 3136 3479 3520 3584 3905 3920 3976 4312 4480 4544 4928 4970 5390 5467 5632 5680 6160 6248 6272 6958 7040 7810 7840 7952 8624 8960 9088 9856 9940 10780 10934 11360 12320 12496 12544 13916 14080 15620 15680 15904 17248 17395 17920 18176 19712 19880 21560 21868 22720 24640 24992 25088 27335 27832 28160 31240 31360 31808 34496 34790 36352 38269 39424 39760 43120 43736 45440 49280 49984 54670 55664 62480 62720 63616 68992 69580 76538 79520 86240 87472 90880 98560 99968 109340 111328 124960 125440 127232 137984 139160 153076 159040 172480 174944 181760 191345 197120 199936 218680 222656 249920 254464 275968 278320 306152 318080 344960 349888 382690 399872 437360 445312 499840 556640 612304 636160 689920 699776 765380 874720 890624 999680 1113280 1224608 1272320 1379840 1399552 1530760 1749440 1781248 1999360 2226560 2449216 2799104 3061520 3498880 4453120 4898432 6123040 6997760 8906240 9796864 12246080 13995520 19593728 24492160 48984320 97968640
- Sum of all divisors σ(n): 302284224
- Sum of proper divisors (its aliquot sum) s(n): 204315584
- 97968640 is an abundant number, because the sum of its proper divisors (204315584) is greater than itself. Its abundance is 106346944
Bases of 97968640
- Binary: 1011101011011100010000000002
- Hexadecimal: 0x5D6E200
- Base-36: 1MBT34
Squares and roots of 97968640
- 97968640 squared (979686402) is 9597854423449600
- 97968640 cubed (979686403) is 940288744783341420544000
-
The
square root of 97968640 is 9897.9108906879 -
The
cube root of 97968640 is 460.9944459721
Scales and comparisons
How big is 97968640?- 97,968,640 seconds is equal to 3 years, 5 weeks, 6 days, 21 hours, 30 minutes, 40 seconds.
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To count from 1 to 97,968,640 would take you about four 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 97968640 cubic inches would be around 38.4 feet tall.
Recreational maths with 97968640
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