106472688
106,472,688 is an even composite number composed of five prime numbers multiplied together.
106472688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 106472688:
24 × 3 × 73 × 29 × 223
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 29 × 223)See below for interesting mathematical facts about the number 106472688 from the Numbermatics database.
Names of 106472688
- Cardinal: 106472688 can be written as One hundred six million, four hundred seventy-two thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.06472688 × 108
Factors of 106472688
Divisors of 106472688
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 223 232 294 336 343 348 392 406 446 464 588 609 669 686 696 784 812 892 1029 1176 1218 1338 1372 1392 1421 1561 1624 1784 2058 2352 2436 2676 2744 2842 3122 3248 3568 4116 4263 4683 4872 5352 5488 5684 6244 6467 8232 8526 9366 9744 9947 10704 10927 11368 12488 12934 16464 17052 18732 19401 19894 21854 22736 24976 25868 29841 32781 34104 37464 38802 39788 43708 45269 51736 59682 65562 68208 74928 76489 77604 79576 87416 90538 103472 119364 131124 135807 152978 155208 159152 174832 181076 229467 238728 262248 271614 305956 310416 316883 362152 458934 477456 524496 543228 611912 633766 724304 917868 950649 1086456 1223824 1267532 1835736 1901298 2172912 2218181 2535064 3671472 3802596 4436362 5070128 6654543 7605192 8872724 13309086 15210384 17745448 26618172 35490896 53236344 106472688
- Sum of all divisors σ(n): 333312000
- Sum of proper divisors (its aliquot sum) s(n): 226839312
- 106472688 is an abundant number, because the sum of its proper divisors (226839312) is greater than itself. Its abundance is 120366624
Bases of 106472688
- Binary: 1100101100010100100111100002
- Hexadecimal: 0x658A4F0
- Base-36: 1RE2UO
Squares and roots of 106472688
- 106472688 squared (1064726882) is 11336433289945344
- 106472688 cubed (1064726883) is 1207020524713164148764672
-
The
square root of 106472688 is 10318.5603647021 -
The
cube root of 106472688 is 473.9647822291
Scales and comparisons
How big is 106472688?- 106,472,688 seconds is equal to 3 years, 20 weeks, 7 hours, 44 minutes, 48 seconds.
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To count from 1 to 106,472,688 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 106472688 cubic inches would be around 39.5 feet tall.
Recreational maths with 106472688
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