120925728
120,925,728 is an even composite number composed of six prime numbers multiplied together.
120925728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 120925728:
25 × 32 × 72 × 11 × 19 × 41
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 19 × 41)See below for interesting mathematical facts about the number 120925728 from the Numbermatics database.
Names of 120925728
- Cardinal: 120925728 can be written as One hundred twenty million, nine hundred twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.20925728 × 108
Factors of 120925728
Divisors of 120925728
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 32 33 36 38 41 42 44 48 49 56 57 63 66 72 76 77 82 84 88 96 98 99 112 114 123 126 132 133 144 147 152 154 164 168 171 176 196 198 209 224 228 231 246 252 264 266 287 288 294 304 308 328 336 342 352 369 392 396 399 418 441 451 456 462 492 504 528 532 539 574 588 608 616 627 656 672 684 693 738 779 784 792 798 836 861 882 902 912 924 931 984 1008 1056 1064 1078 1148 1176 1197 1232 1254 1312 1353 1368 1386 1463 1476 1558 1568 1584 1596 1617 1672 1722 1764 1804 1824 1848 1862 1881 1968 2009 2016 2128 2156 2296 2337 2352 2394 2464 2508 2583 2706 2736 2772 2793 2926 2952 3116 3157 3168 3192 3234 3344 3444 3528 3608 3696 3724 3762 3936 4018 4059 4256 4312 4389 4592 4674 4704 4788 4851 5016 5166 5412 5453 5472 5544 5586 5852 5904 6027 6232 6314 6384 6468 6688 6888 7011 7056 7216 7392 7448 7524 8036 8118 8379 8569 8624 8778 9184 9348 9471 9576 9702 10032 10241 10332 10824 10906 11088 11172 11704 11808 12054 12464 12628 12768 12936 13167 13776 14022 14112 14432 14896 15048 16072 16236 16359 16758 17138 17248 17556 18081 18696 18942 19152 19404 20064 20482 20664 21648 21812 22099 22176 22344 23408 24108 24928 25256 25707 25872 26334 27552 28044 28413 29792 30096 30723 32144 32472 32718 33516 34276 35112 36162 37392 37884 38171 38304 38808 40964 41328 43296 43624 44198 44688 46816 48216 49077 50512 51414 51744 52668 56088 56826 59983 60192 61446 64288 64944 65436 66297 67032 68552 70224 72324 74784 75768 76342 77121 77616 81928 82656 87248 88396 89376 92169 96432 98154 101024 102828 105336 112176 113652 114513 119966 122892 129888 130872 132594 134064 137104 140448 144648 151536 152684 154242 155232 163856 174496 176792 179949 184338 192864 196308 198891 205656 210672 224352 227304 229026 239932 245784 261744 265188 268128 274208 289296 303072 305368 308484 327712 343539 353584 359898 368676 392616 397782 411312 419881 421344 454608 458052 479864 491568 523488 530376 539847 578592 610736 616968 687078 707168 719796 737352 785232 795564 822624 839762 909216 916104 959728 983136 1060752 1079694 1221472 1233936 1259643 1374156 1439592 1474704 1570464 1591128 1679524 1832208 1919456 2121504 2159388 2467872 2519286 2748312 2879184 2949408 3182256 3359048 3664416 3778929 4318776 5038572 5496624 5758368 6364512 6718096 7557858 8637552 10077144 10993248 13436192 15115716 17275104 20154288 30231432 40308576 60462864 120925728
- Sum of all divisors σ(n): 470564640
- Sum of proper divisors (its aliquot sum) s(n): 349638912
- 120925728 is an abundant number, because the sum of its proper divisors (349638912) is greater than itself. Its abundance is 228713184
Bases of 120925728
- Binary: 1110011010100101110001000002
- Hexadecimal: 0x7352E20
- Base-36: 1ZZUW0
Squares and roots of 120925728
- 120925728 squared (1209257282) is 14623031692329984
- 120925728 cubed (1209257283) is 1768300752962075331428352
-
The
square root of 120925728 is 10996.6234817783 -
The
cube root of 120925728 is 494.5075236649
Scales and comparisons
How big is 120925728?- 120,925,728 seconds is equal to 3 years, 43 weeks, 6 days, 14 hours, 28 minutes, 48 seconds.
-
To count from 1 to 120,925,728 would take you about five 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 120925728 cubic inches would be around 41.2 feet tall.
Recreational maths with 120925728
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