13689760
13,689,760 is an even composite number composed of five prime numbers multiplied together.
13689760 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 13689760:
25 × 5 × 7 × 17 × 719
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 719)See below for interesting mathematical facts about the number 13689760 from the Numbermatics database.
Names of 13689760
- Cardinal: 13689760 can be written as Thirteen million, six hundred eighty-nine thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.368976 × 107
Factors of 13689760
Divisors of 13689760
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 719 952 1120 1190 1360 1438 1904 2380 2720 2876 3595 3808 4760 5033 5752 7190 9520 10066 11504 12223 14380 19040 20132 23008 24446 25165 28760 40264 48892 50330 57520 61115 80528 85561 97784 100660 115040 122230 161056 171122 195568 201320 244460 342244 391136 402640 427805 488920 684488 805280 855610 977840 1368976 1711220 1955680 2737952 3422440 6844880 13689760
- Sum of all divisors σ(n): 39191040
- Sum of proper divisors (its aliquot sum) s(n): 25501280
- 13689760 is an abundant number, because the sum of its proper divisors (25501280) is greater than itself. Its abundance is 11811520
Bases of 13689760
- Binary: 1101000011100011101000002
- Hexadecimal: 0xD0E3A0
- Base-36: 85F34
Squares and roots of 13689760
- 13689760 squared (136897602) is 187409528857600
- 13689760 cubed (136897603) is 2565591471773618176000
-
The
square root of 13689760 is 3699.9675674255 -
The
cube root of 13689760 is 239.2206199157
Scales and comparisons
How big is 13689760?- 13,689,760 seconds is equal to 22 weeks, 4 days, 10 hours, 42 minutes, 40 seconds.
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To count from 1 to 13,689,760 would take you about thirty-three 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 13689760 cubic inches would be around 19.9 feet tall.
Recreational maths with 13689760
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