120648528
120,648,528 is an even composite number composed of six prime numbers multiplied together.
120648528 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 120648528:
24 × 35 × 7 × 11 × 13 × 31
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 31)See below for interesting mathematical facts about the number 120648528 from the Numbermatics database.
Names of 120648528
- Cardinal: 120648528 can be written as One hundred twenty million, six hundred forty-eight thousand, five hundred twenty-eight.
Scientific notation
- Scientific notation: 1.20648528 × 108
Factors of 120648528
Divisors of 120648528
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 31 33 36 39 42 44 48 52 54 56 62 63 66 72 77 78 81 84 88 91 93 99 104 108 112 117 124 126 132 143 144 154 156 162 168 176 182 186 189 198 208 216 217 231 234 243 248 252 264 273 279 286 297 308 312 324 336 341 351 364 372 378 396 403 429 432 434 462 468 486 496 504 528 546 558 567 572 594 616 624 648 651 682 693 702 728 744 756 792 806 819 837 858 868 891 924 936 972 1001 1008 1023 1053 1092 1116 1134 1144 1188 1209 1232 1287 1296 1302 1364 1386 1404 1456 1488 1512 1584 1612 1638 1674 1701 1716 1736 1782 1848 1872 1944 1953 2002 2046 2079 2106 2184 2232 2268 2288 2376 2387 2418 2457 2511 2574 2604 2673 2728 2772 2808 2821 3003 3024 3069 3159 3224 3276 3348 3402 3432 3472 3564 3627 3696 3861 3888 3906 4004 4092 4158 4212 4368 4433 4464 4536 4752 4774 4836 4914 5022 5148 5208 5346 5456 5544 5616 5642 5859 6006 6138 6237 6318 6448 6552 6696 6804 6864 7128 7161 7254 7371 7533 7722 7812 8008 8184 8316 8424 8463 8866 9009 9072 9207 9548 9672 9828 10044 10296 10416 10692 10881 11088 11284 11583 11718 12012 12276 12474 12636 13104 13299 13392 13608 14256 14322 14508 14742 15066 15444 15624 16016 16368 16632 16848 16926 17577 17732 18018 18414 18711 19096 19344 19656 20088 20592 21384 21483 21762 22113 22568 23166 23436 24024 24552 24948 25272 25389 26598 27027 27216 27621 28644 29016 29484 30132 30888 31031 31248 32643 33264 33852 34749 35154 35464 36036 36828 37422 38192 39312 39897 40176 42768 42966 43524 44226 45136 46332 46872 48048 49104 49896 50544 50778 52731 53196 54054 55242 57288 58032 58968 60264 61776 62062 64449 65286 67704 69498 70308 70928 72072 73656 74844 76167 79794 81081 82863 85932 87048 88452 92664 93093 93744 97929 99792 101556 105462 106392 108108 110484 114576 117936 119691 120528 124124 128898 130572 135408 138996 140616 144144 147312 149688 152334 159588 162162 165726 171864 174096 176904 185328 186186 193347 195858 203112 210924 212784 216216 220968 228501 239382 243243 248248 257796 261144 277992 279279 281232 299376 304668 319176 324324 331452 343728 353808 359073 372372 386694 391716 406224 421848 432432 441936 457002 478764 486486 496496 515592 522288 555984 558558 580041 609336 638352 648648 662904 685503 718146 744744 773388 783432 837837 843696 914004 957528 972972 1031184 1077219 1117116 1160082 1218672 1297296 1325808 1371006 1436292 1489488 1546776 1566864 1675674 1828008 1915056 1945944 2154438 2234232 2320164 2513511 2742012 2872584 3093552 3351348 3656016 3891888 4308876 4468464 4640328 5027022 5484024 5745168 6702696 7540533 8617752 9280656 10054044 10968048 13405392 15081066 17235504 20108088 30162132 40216176 60324264 120648528
- Sum of all divisors σ(n): 485302272
- Sum of proper divisors (its aliquot sum) s(n): 364653744
- 120648528 is an abundant number, because the sum of its proper divisors (364653744) is greater than itself. Its abundance is 244005216
Bases of 120648528
- Binary: 1110011000011110011010100002
- Hexadecimal: 0x730F350
- Base-36: 1ZTX00
Squares and roots of 120648528
- 120648528 squared (1206485282) is 14556067308566784
- 120648528 cubed (1206485283) is 1756168094247504279293952
-
The
square root of 120648528 is 10984.0123816389 -
The
cube root of 120648528 is 494.1293787131
Scales and comparisons
How big is 120648528?- 120,648,528 seconds is equal to 3 years, 43 weeks, 3 days, 9 hours, 28 minutes, 48 seconds.
-
To count from 1 to 120,648,528 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 120648528 cubic inches would be around 41.2 feet tall.
Recreational maths with 120648528
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