680345120
680,345,120 is an even composite number composed of five prime numbers multiplied together.
680345120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 680345120:
25 × 5 × 7 × 13 × 46727
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 46727)See below for interesting mathematical facts about the number 680345120 from the Numbermatics database.
Names of 680345120
- Cardinal: 680345120 can be written as Six hundred eighty million, three hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.8034512 × 108
Factors of 680345120
Divisors of 680345120
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 46727 93454 186908 233635 327089 373816 467270 607451 654178 747632 934540 1214902 1308356 1495264 1635445 1869080 2429804 2616712 3037255 3270890 3738160 4252157 4859608 5233424 6074510 6541780 7476320 8504314 9719216 10466848 12149020 13083560 17008628 19438432 21260785 24298040 26167120 34017256 42521570 48596080 52334240 68034512 85043140 97192160 136069024 170086280 340172560 680345120
- Sum of all divisors σ(n): 1978276608
- Sum of proper divisors (its aliquot sum) s(n): 1297931488
- 680345120 is an abundant number, because the sum of its proper divisors (1297931488) is greater than itself. Its abundance is 617586368
Bases of 680345120
- Binary: 1010001000110100111110001000002
- Hexadecimal: 0x288D3E20
- Base-36: B925NK
Squares and roots of 680345120
- 680345120 squared (6803451202) is 462869482307814400
- 680345120 cubed (6803451203) is 314910993485047864905728000
-
The
square root of 680345120 is 26083.4261553193 -
The
cube root of 680345120 is 879.5146772959
Scales and comparisons
How big is 680345120?- 680,345,120 seconds is equal to 21 years, 32 weeks, 6 days, 8 hours, 45 minutes, 20 seconds.
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To count from 1 to 680,345,120 would take you about thirty-two 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 680345120 cubic inches would be around 73.3 feet tall.
Recreational maths with 680345120
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