21375120
21,375,120 is an even composite number composed of six prime numbers multiplied together.
21375120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 21375120:
24 × 3 × 5 × 132 × 17 × 31
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 17 × 31)See below for interesting mathematical facts about the number 21375120 from the Numbermatics database.
Names of 21375120
- Cardinal: 21375120 can be written as Twenty-one million, three hundred seventy-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.137512 × 107
Factors of 21375120
Divisors of 21375120
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 31 34 39 40 48 51 52 60 62 65 68 78 80 85 93 102 104 120 124 130 136 155 156 169 170 186 195 204 208 221 240 248 255 260 272 310 312 338 340 372 390 403 408 442 465 496 507 510 520 527 620 624 663 676 680 744 780 806 816 845 884 930 1014 1020 1040 1054 1105 1209 1240 1326 1352 1360 1488 1560 1581 1612 1690 1768 1860 2015 2028 2040 2108 2210 2418 2480 2535 2635 2652 2704 2873 3120 3162 3224 3315 3380 3536 3720 4030 4056 4080 4216 4420 4836 5070 5239 5270 5304 5746 6045 6324 6448 6630 6760 6851 7440 7905 8060 8112 8432 8619 8840 9672 10140 10478 10540 10608 11492 12090 12648 13260 13520 13702 14365 15717 15810 16120 17238 17680 19344 20280 20553 20956 21080 22984 24180 25296 26195 26520 27404 28730 31434 31620 32240 34255 34476 40560 41106 41912 42160 43095 45968 48360 52390 53040 54808 57460 62868 63240 68510 68952 78585 82212 83824 86190 89063 96720 102765 104780 109616 114920 125736 126480 137020 137904 157170 164424 172380 178126 205530 209560 229840 251472 267189 274040 314340 328848 344760 356252 411060 419120 445315 534378 548080 628680 689520 712504 822120 890630 1068756 1257360 1335945 1425008 1644240 1781260 2137512 2671890 3562520 4275024 5343780 7125040 10687560 21375120
- Sum of all divisors σ(n): 78423552
- Sum of proper divisors (its aliquot sum) s(n): 57048432
- 21375120 is an abundant number, because the sum of its proper divisors (57048432) is greater than itself. Its abundance is 35673312
Bases of 21375120
- Binary: 10100011000101000100100002
- Hexadecimal: 0x1462890
- Base-36: CQ55C
Squares and roots of 21375120
- 21375120 squared (213751202) is 456895755014400
- 21375120 cubed (213751203) is 9766201590923401728000
-
The
square root of 21375120 is 4623.3234799221 -
The
cube root of 21375120 is 277.5254744895
Scales and comparisons
How big is 21375120?- 21,375,120 seconds is equal to 35 weeks, 2 days, 9 hours, 32 minutes.
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To count from 1 to 21,375,120 would take you about two hours!
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 21375120 cubic inches would be around 23.1 feet tall.
Recreational maths with 21375120
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