106746240
106,746,240 is an even composite number composed of five prime numbers multiplied together.
106746240 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 106746240:
27 × 3 × 5 × 53 × 1049
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 53 × 1049)See below for interesting mathematical facts about the number 106746240 from the Numbermatics database.
Names of 106746240
- Cardinal: 106746240 can be written as One hundred six million, seven hundred forty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.0674624 × 108
Factors of 106746240
Divisors of 106746240
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 159 160 192 212 240 265 318 320 384 424 480 530 636 640 795 848 960 1049 1060 1272 1590 1696 1920 2098 2120 2544 3147 3180 3392 4196 4240 5088 5245 6294 6360 6784 8392 8480 10176 10490 12588 12720 15735 16784 16960 20352 20980 25176 25440 31470 33568 33920 41960 50352 50880 55597 62940 67136 83920 100704 101760 111194 125880 134272 166791 167840 201408 222388 251760 277985 333582 335680 402816 444776 503520 555970 667164 671360 833955 889552 1007040 1111940 1334328 1667910 1779104 2014080 2223880 2668656 3335820 3558208 4447760 5337312 6671640 7116416 8895520 10674624 13343280 17791040 21349248 26686560 35582080 53373120 106746240
- Sum of all divisors σ(n): 347004000
- Sum of proper divisors (its aliquot sum) s(n): 240257760
- 106746240 is an abundant number, because the sum of its proper divisors (240257760) is greater than itself. Its abundance is 133511520
Bases of 106746240
- Binary: 1100101110011010001100000002
- Hexadecimal: 0x65CD180
- Base-36: 1RJXXC
Squares and roots of 106746240
- 106746240 squared (1067462402) is 11394759754137600
- 106746240 cubed (1067462403) is 1216347759457513242624000
-
The
square root of 106746240 is 10331.8071991303 -
The
cube root of 106746240 is 474.3703420589
Scales and comparisons
How big is 106746240?- 106,746,240 seconds is equal to 3 years, 20 weeks, 3 days, 11 hours, 44 minutes.
-
To count from 1 to 106,746,240 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 106746240 cubic inches would be around 39.5 feet tall.
Recreational maths with 106746240
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