217152
217,152 is an even composite number composed of four prime numbers multiplied together.
217152 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 217152:
26 × 32 × 13 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 29)See below for interesting mathematical facts about the number 217152 from the Numbermatics database.
Names of 217152
- Cardinal: 217152 can be written as Two hundred seventeen thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 2.17152 × 105
Factors of 217152
Divisors of 217152
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 64 72 78 87 96 104 116 117 144 156 174 192 208 232 234 261 288 312 348 377 416 464 468 522 576 624 696 754 832 928 936 1044 1131 1248 1392 1508 1856 1872 2088 2262 2496 2784 3016 3393 3744 4176 4524 5568 6032 6786 7488 8352 9048 12064 13572 16704 18096 24128 27144 36192 54288 72384 108576 217152
- Sum of all divisors σ(n): 693420
- Sum of proper divisors (its aliquot sum) s(n): 476268
- 217152 is an abundant number, because the sum of its proper divisors (476268) is greater than itself. Its abundance is 259116
Bases of 217152
- Binary: 1101010000010000002
- Hexadecimal: 0x35040
- Base-36: 4NK0
Squares and roots of 217152
- 217152 squared (2171522) is 47154991104
- 217152 cubed (2171523) is 10239800628215808
-
The
square root of 217152 is 465.9957081347 -
The
cube root of 217152 is 60.1064775969
Scales and comparisons
How big is 217152?- 217,152 seconds is equal to 2 days, 12 hours, 19 minutes, 12 seconds.
-
To count from 1 to 217,152 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 217152 cubic inches would be around 5 feet tall.
Recreational maths with 217152
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The information we have on file for 217152 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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