106981632
106,981,632 is an even composite number composed of four prime numbers multiplied together.
106981632 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 106981632:
28 × 32 × 59 × 787
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 59 × 787)See below for interesting mathematical facts about the number 106981632 from the Numbermatics database.
Names of 106981632
- Cardinal: 106981632 can be written as One hundred six million, nine hundred eighty-one thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.06981632 × 108
Factors of 106981632
Divisors of 106981632
- Number of divisors d(n): 108
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 531 576 708 768 787 944 1062 1152 1416 1574 1888 2124 2304 2361 2832 3148 3776 4248 4722 5664 6296 7083 7552 8496 9444 11328 12592 14166 15104 16992 18888 22656 25184 28332 33984 37776 45312 46433 50368 56664 67968 75552 92866 100736 113328 135936 139299 151104 185732 201472 226656 278598 302208 371464 417897 453312 557196 604416 742928 835794 906624 1114392 1485856 1671588 1813248 2228784 2971712 3343176 4457568 5943424 6686352 8915136 11886848 13372704 17830272 26745408 35660544 53490816 106981632
- Sum of all divisors σ(n): 314081040
- Sum of proper divisors (its aliquot sum) s(n): 207099408
- 106981632 is an abundant number, because the sum of its proper divisors (207099408) is greater than itself. Its abundance is 100117776
Bases of 106981632
- Binary: 1100110000001101001000000002
- Hexadecimal: 0x6606900
- Base-36: 1ROZK0
Squares and roots of 106981632
- 106981632 squared (1069816322) is 11445069585383424
- 106981632 cubed (1069816323) is 1224412222597882045267968
-
The
square root of 106981632 is 10343.1925438909 -
The
cube root of 106981632 is 474.7187727731
Scales and comparisons
How big is 106981632?- 106,981,632 seconds is equal to 3 years, 20 weeks, 6 days, 5 hours, 7 minutes, 12 seconds.
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To count from 1 to 106,981,632 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 106981632 cubic inches would be around 39.6 feet tall.
Recreational maths with 106981632
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