10485120
10,485,120 is an even composite number composed of five prime numbers multiplied together.
10485120 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 10485120:
27 × 3 × 5 × 43 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 43 × 127)See below for interesting mathematical facts about the number 10485120 from the Numbermatics database.
Names of 10485120
- Cardinal: 10485120 can be written as Ten million, four hundred eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.048512 × 107
Factors of 10485120
Divisors of 10485120
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 127 128 129 160 172 192 215 240 254 258 320 344 381 384 430 480 508 516 635 640 645 688 762 860 960 1016 1032 1270 1290 1376 1524 1720 1905 1920 2032 2064 2540 2580 2752 3048 3440 3810 4064 4128 5080 5160 5461 5504 6096 6880 7620 8128 8256 10160 10320 10922 12192 13760 15240 16256 16383 16512 20320 20640 21844 24384 27305 27520 30480 32766 40640 41280 43688 48768 54610 60960 65532 81280 81915 82560 87376 109220 121920 131064 163830 174752 218440 243840 262128 327660 349504 436880 524256 655320 699008 873760 1048512 1310640 1747520 2097024 2621280 3495040 5242560 10485120
- Sum of all divisors σ(n): 34467840
- Sum of proper divisors (its aliquot sum) s(n): 23982720
- 10485120 is an abundant number, because the sum of its proper divisors (23982720) is greater than itself. Its abundance is 13497600
Bases of 10485120
- Binary: 1001111111111101100000002
- Hexadecimal: 0x9FFD80
- Base-36: 68QDC
Squares and roots of 10485120
- 10485120 squared (104851202) is 109937741414400
- 10485120 cubed (104851203) is 1152710411258953728000
-
The
square root of 10485120 is 3238.0735013277 -
The
cube root of 10485120 is 218.8724680217
Scales and comparisons
How big is 10485120?- 10,485,120 seconds is equal to 17 weeks, 2 days, 8 hours, 32 minutes.
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To count from 1 to 10,485,120 would take you about twenty-six weeks!
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 10485120 cubic inches would be around 18.2 feet tall.
Recreational maths with 10485120
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