106137696
106,137,696 is an even composite number composed of five prime numbers multiplied together.
106137696 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 106137696:
25 × 3 × 7 × 59 × 2677
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 59 × 2677)See below for interesting mathematical facts about the number 106137696 from the Numbermatics database.
Names of 106137696
- Cardinal: 106137696 can be written as One hundred six million, one hundred thirty-seven thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 1.06137696 × 108
Factors of 106137696
Divisors of 106137696
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2677 2832 3304 4956 5354 5664 6608 8031 9912 10708 13216 16062 18739 19824 21416 32124 37478 39648 42832 56217 64248 74956 85664 112434 128496 149912 157943 224868 256992 299824 315886 449736 473829 599648 631772 899472 947658 1105601 1263544 1798944 1895316 2211202 2527088 3316803 3790632 4422404 5054176 6633606 7581264 8844808 13267212 15162528 17689616 26534424 35379232 53068848 106137696
- Sum of all divisors σ(n): 323930880
- Sum of proper divisors (its aliquot sum) s(n): 217793184
- 106137696 is an abundant number, because the sum of its proper divisors (217793184) is greater than itself. Its abundance is 111655488
Bases of 106137696
- Binary: 1100101001110001000011000002
- Hexadecimal: 0x6538860
- Base-36: 1R6WDC
Squares and roots of 106137696
- 106137696 squared (1061376962) is 11265210512188416
- 106137696 cubed (1061376963) is 1195663488718658392129536
-
The
square root of 106137696 is 10302.3150796313 -
The
cube root of 106137696 is 473.4671860199
Scales and comparisons
How big is 106137696?- 106,137,696 seconds is equal to 3 years, 19 weeks, 3 days, 10 hours, 41 minutes, 36 seconds.
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To count from 1 to 106,137,696 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 106137696 cubic inches would be around 39.5 feet tall.
Recreational maths with 106137696
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