664387920
664,387,920 is an even composite number composed of six prime numbers multiplied together.
664387920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 664387920:
24 × 34 × 5 × 7 × 97 × 151
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 97 × 151)See below for interesting mathematical facts about the number 664387920 from the Numbermatics database.
Names of 664387920
- Cardinal: 664387920 can be written as Six hundred sixty-four million, three hundred eighty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 6.6438792 × 108
Factors of 664387920
Divisors of 664387920
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 81 84 90 97 105 108 112 120 126 135 140 144 151 162 168 180 189 194 210 216 240 252 270 280 291 302 315 324 336 360 378 388 405 420 432 453 485 504 540 560 567 582 604 630 648 679 720 755 756 776 810 840 873 906 945 970 1008 1057 1080 1134 1164 1208 1260 1296 1358 1359 1455 1510 1512 1552 1620 1680 1746 1812 1890 1940 2037 2114 2160 2265 2268 2328 2416 2520 2619 2716 2718 2835 2910 3020 3024 3171 3240 3395 3492 3624 3780 3880 4074 4077 4228 4365 4530 4536 4656 5040 5238 5285 5432 5436 5670 5820 6040 6111 6342 6480 6790 6795 6984 7248 7560 7760 7857 8148 8154 8456 8730 9060 9072 9513 10185 10476 10570 10864 10872 11340 11640 12080 12222 12231 12684 13095 13580 13590 13968 14647 15120 15714 15855 16296 16308 16912 17460 18120 18333 19026 20370 20385 20952 21140 21744 22680 23280 24444 24462 25368 26190 27160 27180 28539 29294 30555 31428 31710 32592 32616 34920 36240 36666 38052 39285 40740 40770 41904 42280 43941 45360 47565 48888 48924 50736 52380 54320 54360 54999 57078 58588 61110 61155 62856 63420 65232 69840 73235 73332 76104 78570 81480 81540 84560 85617 87882 91665 95130 97776 97848 102529 104760 108720 109998 114156 117176 122220 122310 125712 126840 131823 142695 146470 146664 152208 157140 162960 163080 171234 175764 183330 190260 195696 205058 209520 219705 219996 228312 234352 244440 244620 253680 263646 274995 285390 292940 293328 307587 314280 326160 342468 351528 366660 380520 395469 410116 428085 439410 439992 456624 488880 489240 512645 527292 549990 570780 585880 615174 628560 659115 684936 703056 733320 761040 790938 820232 856170 878820 879984 922761 978480 1025290 1054584 1099980 1141560 1171760 1186407 1230348 1318230 1369872 1466640 1537935 1581876 1640464 1712340 1757640 1845522 1977345 2050580 2109168 2199960 2283120 2372814 2460696 2636460 2768283 3075870 3163752 3424680 3515280 3691044 3954690 4101160 4399920 4613805 4745628 4921392 5272920 5536566 5932035 6151740 6327504 6849360 7382088 7909380 8202320 8304849 9227610 9491256 10545840 11073132 11864070 12303480 13841415 14764176 15818760 16609698 18455220 18982512 22146264 23728140 24606960 27682830 31637520 33219396 36910440 41524245 44292528 47456280 55365660 66438792 73820880 83048490 94912560 110731320 132877584 166096980 221462640 332193960 664387920
- Sum of all divisors σ(n): 2681995008
- Sum of proper divisors (its aliquot sum) s(n): 2017607088
- 664387920 is an abundant number, because the sum of its proper divisors (2017607088) is greater than itself. Its abundance is 1353219168
Bases of 664387920
- Binary: 1001111001100111000001010100002
- Hexadecimal: 0x2799C150
- Base-36: AZK500
Squares and roots of 664387920
- 664387920 squared (6643879202) is 441411308241926400
- 664387920 cubed (6643879203) is 293268340947332337689088000
-
The
square root of 664387920 is 25775.7234622039 -
The
cube root of 664387920 is 872.5839942345
Scales and comparisons
How big is 664387920?- 664,387,920 seconds is equal to 21 years, 6 weeks, 3 days, 16 hours, 12 minutes.
-
To count from 1 to 664,387,920 would take you about thirty-one 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 664387920 cubic inches would be around 72.7 feet tall.
Recreational maths with 664387920
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