13680384
13,680,384 is an even composite number composed of four prime numbers multiplied together.
13680384 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 13680384:
28 × 3 × 47 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 47 × 379)See below for interesting mathematical facts about the number 13680384 from the Numbermatics database.
Names of 13680384
- Cardinal: 13680384 can be written as Thirteen million, six hundred eighty thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.3680384 × 107
Factors of 13680384
Divisors of 13680384
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 379 384 564 752 758 768 1128 1137 1504 1516 2256 2274 3008 3032 4512 4548 6016 6064 9024 9096 12032 12128 17813 18048 18192 24256 35626 36096 36384 48512 53439 71252 72768 97024 106878 142504 145536 213756 285008 291072 427512 570016 855024 1140032 1710048 2280064 3420096 4560128 6840192 13680384
- Sum of all divisors σ(n): 37282560
- Sum of proper divisors (its aliquot sum) s(n): 23602176
- 13680384 is an abundant number, because the sum of its proper divisors (23602176) is greater than itself. Its abundance is 9921792
Bases of 13680384
- Binary: 1101000010111111000000002
- Hexadecimal: 0xD0BF00
- Base-36: 857UO
Squares and roots of 13680384
- 13680384 squared (136803842) is 187152906387456
- 13680384 cubed (136803843) is 2560323626096450863104
-
The
square root of 13680384 is 3698.7003122719 -
The
cube root of 13680384 is 239.1659940547
Scales and comparisons
How big is 13680384?- 13,680,384 seconds is equal to 22 weeks, 4 days, 8 hours, 6 minutes, 24 seconds.
-
To count from 1 to 13,680,384 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 13680384 cubic inches would be around 19.9 feet tall.
Recreational maths with 13680384
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The information we have on file for 13680384 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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