106168608
106,168,608 is an even composite number composed of five prime numbers multiplied together.
106168608 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 106168608:
25 × 32 × 7 × 13 × 4051
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 4051)See below for interesting mathematical facts about the number 106168608 from the Numbermatics database.
Names of 106168608
- Cardinal: 106168608 can be written as One hundred six million, one hundred sixty-eight thousand, six hundred eight.
Scientific notation
- Scientific notation: 1.06168608 × 108
Factors of 106168608
Divisors of 106168608
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4051 4368 6552 8102 8736 12153 13104 16204 24306 26208 28357 32408 36459 48612 52663 56714 64816 72918 85071 97224 105326 113428 129632 145836 157989 170142 194448 210652 226856 255213 291672 315978 340284 368641 388896 421304 453712 473967 510426 583344 631956 680568 737282 842608 907424 947934 1020852 1105923 1166688 1263912 1361136 1474564 1685216 1895868 2041704 2211846 2527824 2722272 2949128 3317769 3791736 4083408 4423692 5055648 5898256 6635538 7583472 8166816 8847384 11796512 13271076 15166944 17694768 26542152 35389536 53084304 106168608
- Sum of all divisors σ(n): 371681856
- Sum of proper divisors (its aliquot sum) s(n): 265513248
- 106168608 is an abundant number, because the sum of its proper divisors (265513248) is greater than itself. Its abundance is 159344640
Bases of 106168608
- Binary: 1100101010000000001001000002
- Hexadecimal: 0x6540120
- Base-36: 1R7K80
Squares and roots of 106168608
- 106168608 squared (1061686082) is 11271773324657664
- 106168608 cubed (1061686083) is 1196708483570436263411712
-
The
square root of 106168608 is 10303.8152157343 -
The
cube root of 106168608 is 473.5131464329
Scales and comparisons
How big is 106168608?- 106,168,608 seconds is equal to 3 years, 19 weeks, 3 days, 19 hours, 16 minutes, 48 seconds.
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To count from 1 to 106,168,608 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 106168608 cubic inches would be around 39.5 feet tall.
Recreational maths with 106168608
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