107485920
107,485,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 107485920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.
107485920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 107485920:
25 × 33 × 5 × 139 × 179
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 139 × 179)See below for interesting mathematical facts about the number 107485920 from the Numbermatics database.
Names of 107485920
- Cardinal: 107485920 can be written as One hundred seven million, four hundred eighty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.0748592 × 108
Factors of 107485920
Divisors of 107485920
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 139 144 160 179 180 216 240 270 278 288 358 360 417 432 480 537 540 556 695 716 720 834 864 895 1074 1080 1112 1251 1390 1432 1440 1611 1668 1790 2085 2148 2160 2224 2502 2685 2780 2864 3222 3336 3580 3753 4170 4296 4320 4448 4833 5004 5370 5560 5728 6255 6444 6672 7160 7506 8055 8340 8592 9666 10008 10740 11120 12510 12888 13344 14320 15012 16110 16680 17184 18765 19332 20016 21480 22240 24165 24881 25020 25776 28640 30024 32220 33360 37530 38664 40032 42960 48330 49762 50040 51552 60048 64440 66720 74643 75060 77328 85920 96660 99524 100080 120096 124405 128880 149286 150120 154656 193320 199048 200160 223929 248810 257760 298572 300240 373215 386640 398096 447858 497620 597144 600480 671787 746430 773280 796192 895716 995240 1119645 1194288 1343574 1492860 1791432 1990480 2239290 2388576 2687148 2985720 3358935 3582864 3980960 4478580 5374296 5971440 6717870 7165728 8957160 10748592 11942880 13435740 17914320 21497184 26871480 35828640 53742960 107485920
- Sum of all divisors σ(n): 381024000
- Sum of proper divisors (its aliquot sum) s(n): 273538080
- 107485920 is an abundant number, because the sum of its proper divisors (273538080) is greater than itself. Its abundance is 166052160
Bases of 107485920
- Binary: 1100110100000011010111000002
- Hexadecimal: 0x6681AE0
- Base-36: 1RZSO0
Squares and roots of 107485920
- 107485920 squared (1074859202) is 11553222998246400
- 107485920 cubed (1074859203) is 1241808802931672690688000
-
The
square root of 107485920 is 10367.5416565357 -
The
cube root of 107485920 is 475.4635106193
Scales and comparisons
How big is 107485920?- 107,485,920 seconds is equal to 3 years, 21 weeks, 5 days, 1 hour, 12 minutes.
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To count from 1 to 107,485,920 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 107485920 cubic inches would be around 39.6 feet tall.
Recreational maths with 107485920
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