217728
217,728 is an even composite number composed of three prime numbers multiplied together.
217728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 217728:
27 × 35 × 7
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7)See below for interesting mathematical facts about the number 217728 from the Numbermatics database.
Names of 217728
- Cardinal: 217728 can be written as Two hundred seventeen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 2.17728 × 105
Factors of 217728
Divisors of 217728
- Number of divisors d(n): 96
-
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 96 108 112 126 128 144 162 168 189 192 216 224 243 252 288 324 336 378 384 432 448 486 504 567 576 648 672 756 864 896 972 1008 1134 1152 1296 1344 1512 1701 1728 1944 2016 2268 2592 2688 3024 3402 3456 3888 4032 4536 5184 6048 6804 7776 8064 9072 10368 12096 13608 15552 18144 24192 27216 31104 36288 54432 72576 108864 217728
- Sum of all divisors σ(n): 742560
- Sum of proper divisors (its aliquot sum) s(n): 524832
- 217728 is an abundant number, because the sum of its proper divisors (524832) is greater than itself. Its abundance is 307104
Bases of 217728
- Binary: 1101010010100000002
- Hexadecimal: 0x35280
- Base-36: 4O00
Squares and roots of 217728
- 217728 squared (2177282) is 47405481984
- 217728 cubed (2177283) is 10321500781412352
-
The
square root of 217728 is 466.6133302853 -
The
cube root of 217728 is 60.1595752195
Scales and comparisons
How big is 217728?- 217,728 seconds is equal to 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 217,728 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 217728 cubic inches would be around 5 feet tall.
Recreational maths with 217728
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The information we have on file for 217728 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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