108864
108,864 is an even composite number composed of three prime numbers multiplied together.
108864 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 108864:
26 × 35 × 7
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7)See below for interesting mathematical facts about the number 108864 from the Numbermatics database.
Names of 108864
- Cardinal: 108864 can be written as One hundred eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.08864 × 105
Factors of 108864
Divisors of 108864
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 243 252 288 324 336 378 432 448 486 504 567 576 648 672 756 864 972 1008 1134 1296 1344 1512 1701 1728 1944 2016 2268 2592 3024 3402 3888 4032 4536 5184 6048 6804 7776 9072 12096 13608 15552 18144 27216 36288 54432 108864
- Sum of all divisors σ(n): 369824
- Sum of proper divisors (its aliquot sum) s(n): 260960
- 108864 is an abundant number, because the sum of its proper divisors (260960) is greater than itself. Its abundance is 152096
Bases of 108864
- Binary: 110101001010000002
- Hexadecimal: 0x1A940
- Base-36: 2C00
Squares and roots of 108864
- 108864 squared (1088642) is 11851370496
- 108864 cubed (1088643) is 1290187597676544
-
The
square root of 108864 is 329.9454500369 -
The
cube root of 108864 is 47.7486864947
Scales and comparisons
How big is 108864?- 108,864 seconds is equal to 1 day, 6 hours, 14 minutes, 24 seconds.
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To count from 1 to 108,864 would take you about six hours.
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 108864 cubic inches would be around 4 feet tall.
Recreational maths with 108864
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