96972960
96,972,960 is an even composite number composed of six prime numbers multiplied together.
96972960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 96972960:
25 × 3 × 5 × 73 × 19 × 31
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 19 × 31)See below for interesting mathematical facts about the number 96972960 from the Numbermatics database.
Names of 96972960
- Cardinal: 96972960 can be written as Ninety-six million, nine hundred seventy-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 9.697296 × 107
Factors of 96972960
Divisors of 96972960
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 31 32 35 38 40 42 48 49 56 57 60 62 70 76 80 84 93 95 96 98 105 112 114 120 124 133 140 147 152 155 160 168 186 190 196 210 217 224 228 240 245 248 266 280 285 294 304 310 336 343 372 380 392 399 420 434 456 465 480 490 496 532 560 570 588 589 608 620 651 665 672 686 735 744 760 784 798 840 868 912 930 931 980 992 1029 1064 1085 1120 1140 1176 1178 1240 1302 1330 1372 1470 1488 1519 1520 1568 1596 1680 1715 1736 1767 1824 1860 1862 1960 1995 2058 2128 2170 2280 2352 2356 2480 2604 2660 2744 2793 2940 2945 2976 3038 3040 3192 3255 3360 3430 3472 3534 3720 3724 3920 3990 4116 4123 4256 4340 4557 4560 4655 4704 4712 4960 5145 5208 5320 5488 5586 5880 5890 6076 6384 6510 6517 6860 6944 7068 7440 7448 7595 7840 7980 8232 8246 8680 8835 9114 9120 9310 9424 10290 10416 10633 10640 10976 11172 11760 11780 12152 12369 12768 13020 13034 13720 13965 14136 14880 14896 15190 15960 16464 16492 17360 17670 18228 18620 18848 19551 20580 20615 20832 21266 21280 22344 22785 23520 23560 24304 24738 26040 26068 27440 27930 28272 28861 29792 30380 31899 31920 32585 32928 32984 34720 35340 36456 37240 39102 41160 41230 42532 44688 45570 47120 48608 49476 52080 52136 53165 54880 55860 56544 57722 60760 61845 63798 63840 65170 65968 70680 72912 74480 78204 82320 82460 85064 86583 89376 91140 94240 97755 98952 104160 104272 106330 111720 115444 121520 123690 127596 130340 131936 141360 144305 145824 148960 156408 159495 164640 164920 170128 173166 182280 195510 197904 202027 208544 212660 223440 230888 243040 247380 255192 260680 282720 288610 312816 318990 329840 340256 346332 364560 391020 395808 404054 425320 432915 446880 461776 494760 510384 521360 577220 606081 625632 637980 659680 692664 729120 782040 808108 850640 865830 923552 989520 1010135 1020768 1042720 1154440 1212162 1275960 1385328 1564080 1616216 1701280 1731660 1979040 2020270 2308880 2424324 2551920 2770656 3030405 3128160 3232432 3463320 4040540 4617760 4848648 5103840 6060810 6464864 6926640 8081080 9697296 12121620 13853280 16162160 19394592 24243240 32324320 48486480 96972960
- Sum of all divisors σ(n): 387072000
- Sum of proper divisors (its aliquot sum) s(n): 290099040
- 96972960 is an abundant number, because the sum of its proper divisors (290099040) is greater than itself. Its abundance is 193126080
Bases of 96972960
- Binary: 1011100011110110000101000002
- Hexadecimal: 0x5C7B0A0
- Base-36: 1LQGTC
Squares and roots of 96972960
- 96972960 squared (969729602) is 9403754971161600
- 96972960 cubed (969729603) is 911909954668254990336000
-
The
square root of 96972960 is 9847.4849580997 -
The
cube root of 96972960 is 459.4273908501
Scales and comparisons
How big is 96972960?- 96,972,960 seconds is equal to 3 years, 4 weeks, 2 days, 8 hours, 56 minutes.
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To count from 1 to 96,972,960 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 96972960 cubic inches would be around 38.3 feet tall.
Recreational maths with 96972960
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