213408
213,408 is an even composite number composed of four prime numbers multiplied together.
213408 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 213408:
25 × 33 × 13 × 19
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 19)See below for interesting mathematical facts about the number 213408 from the Numbermatics database.
Names of 213408
- Cardinal: 213408 can be written as Two hundred thirteen thousand, four hundred eight.
Scientific notation
- Scientific notation: 2.13408 × 105
Factors of 213408
Divisors of 213408
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 72 76 78 96 104 108 114 117 144 152 156 171 208 216 228 234 247 288 304 312 342 351 416 432 456 468 494 513 608 624 684 702 741 864 912 936 988 1026 1248 1368 1404 1482 1824 1872 1976 2052 2223 2736 2808 2964 3744 3952 4104 4446 5472 5616 5928 6669 7904 8208 8892 11232 11856 13338 16416 17784 23712 26676 35568 53352 71136 106704 213408
- Sum of all divisors σ(n): 705600
- Sum of proper divisors (its aliquot sum) s(n): 492192
- 213408 is an abundant number, because the sum of its proper divisors (492192) is greater than itself. Its abundance is 278784
Bases of 213408
- Binary: 1101000001101000002
- Hexadecimal: 0x341A0
- Base-36: 4KO0
Squares and roots of 213408
- 213408 squared (2134082) is 45542974464
- 213408 cubed (2134083) is 9719235094413312
-
The
square root of 213408 is 461.9610373181 -
The
cube root of 213408 is 59.7590335485
Scales and comparisons
How big is 213408?- 213,408 seconds is equal to 2 days, 11 hours, 16 minutes, 48 seconds.
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To count from 1 to 213,408 would take you about two days.
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 213408 cubic inches would be around 5 feet tall.
Recreational maths with 213408
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The information we have on file for 213408 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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