13686816
13,686,816 is an even composite number composed of five prime numbers multiplied together.
13686816 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 13686816:
25 × 3 × 11 × 13 × 997
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 997)See below for interesting mathematical facts about the number 13686816 from the Numbermatics database.
Names of 13686816
- Cardinal: 13686816 can be written as Thirteen million, six hundred eighty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.3686816 × 107
Factors of 13686816
Divisors of 13686816
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 997 1056 1144 1248 1716 1994 2288 2991 3432 3988 4576 5982 6864 7976 10967 11964 12961 13728 15952 21934 23928 25922 31904 32901 38883 43868 47856 51844 65802 77766 87736 95712 103688 131604 142571 155532 175472 207376 263208 285142 311064 350944 414752 427713 526416 570284 622128 855426 1052832 1140568 1244256 1710852 2281136 3421704 4562272 6843408 13686816
- Sum of all divisors σ(n): 42251328
- Sum of proper divisors (its aliquot sum) s(n): 28564512
- 13686816 is an abundant number, because the sum of its proper divisors (28564512) is greater than itself. Its abundance is 14877696
Bases of 13686816
- Binary: 1101000011011000001000002
- Hexadecimal: 0xD0D820
- Base-36: 85CTC
Squares and roots of 13686816
- 13686816 squared (136868162) is 187328932217856
- 13686816 cubed (136868163) is 2563936626742266986496
-
The
square root of 13686816 is 3699.5697047089 -
The
cube root of 13686816 is 239.2034704551
Scales and comparisons
How big is 13686816?- 13,686,816 seconds is equal to 22 weeks, 4 days, 9 hours, 53 minutes, 36 seconds.
-
To count from 1 to 13,686,816 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 13686816 cubic inches would be around 19.9 feet tall.
Recreational maths with 13686816
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The information we have on file for 13686816 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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