106542072
106,542,072 is an even composite number composed of six prime numbers multiplied together.
106542072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 106542072:
23 × 32 × 72 × 13 × 23 × 101
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 23 × 101)See below for interesting mathematical facts about the number 106542072 from the Numbermatics database.
Names of 106542072
- Cardinal: 106542072 can be written as One hundred six million, five hundred forty-two thousand and seventy-two.
Scientific notation
- Scientific notation: 1.06542072 × 108
Factors of 106542072
Divisors of 106542072
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 23 24 26 28 36 39 42 46 49 52 56 63 69 72 78 84 91 92 98 101 104 117 126 138 147 156 161 168 182 184 196 202 207 234 252 273 276 294 299 303 312 322 364 392 404 414 441 468 483 504 546 552 588 598 606 637 644 707 728 808 819 828 882 897 909 936 966 1092 1127 1176 1196 1212 1274 1288 1313 1414 1449 1638 1656 1764 1794 1818 1911 1932 2093 2121 2184 2254 2323 2392 2424 2548 2626 2691 2828 2898 3276 3381 3528 3588 3636 3822 3864 3939 4186 4242 4508 4646 4949 5096 5252 5382 5656 5733 5796 6279 6363 6552 6762 6969 7176 7272 7644 7878 8372 8484 9016 9191 9292 9898 10143 10504 10764 11466 11592 11817 12558 12726 13524 13938 14651 14847 15288 15756 16261 16744 16968 18382 18584 18837 19796 20286 20907 21528 22932 23634 25116 25452 27048 27573 27876 29302 29694 30199 31512 32522 36764 37674 39592 40572 41814 43953 44541 45864 47268 48783 50232 50904 55146 55752 58604 59388 60398 64337 65044 73528 75348 81144 82719 83628 87906 89082 90597 94536 97566 110292 113827 117208 118776 120796 128674 130088 131859 146349 150696 165438 167256 175812 178164 181194 193011 195132 211393 220584 227654 241592 257348 263718 271791 292698 330876 341481 351624 356328 362388 386022 390264 422786 455308 514696 527436 543582 579033 585396 634179 661752 682962 724776 772044 845572 910616 1024443 1054872 1087164 1158066 1170792 1268358 1365924 1479751 1544088 1691144 1902537 2048886 2174328 2316132 2536716 2731848 2959502 3805074 4097772 4439253 4632264 5073432 5919004 7610148 8195544 8878506 11838008 13317759 15220296 17757012 26635518 35514024 53271036 106542072
- Sum of all divisors σ(n): 380933280
- Sum of proper divisors (its aliquot sum) s(n): 274391208
- 106542072 is an abundant number, because the sum of its proper divisors (274391208) is greater than itself. Its abundance is 167849136
Bases of 106542072
- Binary: 1100101100110110011111110002
- Hexadecimal: 0x659B3F8
- Base-36: 1RFKE0
Squares and roots of 106542072
- 106542072 squared (1065420722) is 11351213106053184
- 106542072 cubed (1065420723) is 1209381764032461965557248
-
The
square root of 106542072 is 10321.9219140623 -
The
cube root of 106542072 is 474.0677145155
Scales and comparisons
How big is 106542072?- 106,542,072 seconds is equal to 3 years, 20 weeks, 1 day, 3 hours, 1 minute, 12 seconds.
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To count from 1 to 106,542,072 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 106542072 cubic inches would be around 39.5 feet tall.
Recreational maths with 106542072
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