13684640
13,684,640 is an even composite number composed of four prime numbers multiplied together.
13684640 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 13684640:
25 × 5 × 312 × 89
(2 × 2 × 2 × 2 × 2 × 5 × 31 × 31 × 89)See below for interesting mathematical facts about the number 13684640 from the Numbermatics database.
Names of 13684640
- Cardinal: 13684640 can be written as Thirteen million, six hundred eighty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.368464 × 107
Factors of 13684640
Divisors of 13684640
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 5 8 10 16 20 31 32 40 62 80 89 124 155 160 178 248 310 356 445 496 620 712 890 961 992 1240 1424 1780 1922 2480 2759 2848 3560 3844 4805 4960 5518 7120 7688 9610 11036 13795 14240 15376 19220 22072 27590 30752 38440 44144 55180 76880 85529 88288 110360 153760 171058 220720 342116 427645 441440 684232 855290 1368464 1710580 2736928 3421160 6842320 13684640
- Sum of all divisors σ(n): 33781860
- Sum of proper divisors (its aliquot sum) s(n): 20097220
- 13684640 is an abundant number, because the sum of its proper divisors (20097220) is greater than itself. Its abundance is 6412580
Bases of 13684640
- Binary: 1101000011001111101000002
- Hexadecimal: 0xD0CFA0
- Base-36: 85B4W
Squares and roots of 13684640
- 13684640 squared (136846402) is 187269371929600
- 13684640 cubed (136846403) is 2562713937882681344000
-
The
square root of 13684640 is 3699.2756047637 -
The
cube root of 13684640 is 239.1907931865
Scales and comparisons
How big is 13684640?- 13,684,640 seconds is equal to 22 weeks, 4 days, 9 hours, 17 minutes, 20 seconds.
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To count from 1 to 13,684,640 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 13684640 cubic inches would be around 19.9 feet tall.
Recreational maths with 13684640
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