106972992
106,972,992 is an even composite number composed of five prime numbers multiplied together.
106972992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 106972992:
26 × 32 × 7 × 43 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 43 × 617)See below for interesting mathematical facts about the number 106972992 from the Numbermatics database.
Names of 106972992
- Cardinal: 106972992 can be written as One hundred six million, nine hundred seventy-two thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.06972992 × 108
Factors of 106972992
Divisors of 106972992
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 64 72 84 86 96 112 126 129 144 168 172 192 224 252 258 288 301 336 344 387 448 504 516 576 602 617 672 688 774 903 1008 1032 1204 1234 1344 1376 1548 1806 1851 2016 2064 2408 2468 2709 2752 3096 3612 3702 4032 4128 4319 4816 4936 5418 5553 6192 7224 7404 8256 8638 9632 9872 10836 11106 12384 12957 14448 14808 17276 19264 19744 21672 22212 24768 25914 26531 28896 29616 34552 38871 39488 43344 44424 51828 53062 57792 59232 69104 77742 79593 86688 88848 103656 106124 118464 138208 155484 159186 173376 177696 185717 207312 212248 238779 276416 310968 318372 355392 371434 414624 424496 477558 557151 621936 636744 742868 829248 848992 955116 1114302 1243872 1273488 1485736 1671453 1697984 1910232 2228604 2487744 2546976 2971472 3342906 3820464 4457208 5093952 5942944 6685812 7640928 8914416 11885888 13371624 15281856 17828832 26743248 35657664 53486496 106972992
- Sum of all divisors σ(n): 359151936
- Sum of proper divisors (its aliquot sum) s(n): 252178944
- 106972992 is an abundant number, because the sum of its proper divisors (252178944) is greater than itself. Its abundance is 145205952
Bases of 106972992
- Binary: 1100110000001000111010000002
- Hexadecimal: 0x6604740
- Base-36: 1ROSW0
Squares and roots of 106972992
- 106972992 squared (1069729922) is 11443221017432064
- 106972992 cubed (1069729923) is 1224115590351992042815488
-
The
square root of 106972992 is 10342.7748694439 -
The
cube root of 106972992 is 474.7059927583
Scales and comparisons
How big is 106972992?- 106,972,992 seconds is equal to 3 years, 20 weeks, 6 days, 2 hours, 43 minutes, 12 seconds.
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To count from 1 to 106,972,992 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 106972992 cubic inches would be around 39.6 feet tall.
Recreational maths with 106972992
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