993168
993,168 is an even composite number composed of four prime numbers multiplied together.
993168 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 993168:
24 × 33 × 112 × 19
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 19)See below for interesting mathematical facts about the number 993168 from the Numbermatics database.
Names of 993168
- Cardinal: 993168 can be written as Nine hundred ninety-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 9.93168 × 105
Factors of 993168
Divisors of 993168
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 121 132 144 152 171 176 198 209 216 228 242 264 297 304 342 363 396 418 432 456 484 513 528 594 627 684 726 792 836 912 968 1026 1089 1188 1254 1368 1452 1584 1672 1881 1936 2052 2178 2299 2376 2508 2736 2904 3267 3344 3762 4104 4356 4598 4752 5016 5643 5808 6534 6897 7524 8208 8712 9196 10032 11286 13068 13794 15048 17424 18392 20691 22572 26136 27588 30096 36784 41382 45144 52272 55176 62073 82764 90288 110352 124146 165528 248292 331056 496584 993168
- Sum of all divisors σ(n): 3298400
- Sum of proper divisors (its aliquot sum) s(n): 2305232
- 993168 is an abundant number, because the sum of its proper divisors (2305232) is greater than itself. Its abundance is 1312064
Bases of 993168
- Binary: 111100100111100100002
- Hexadecimal: 0xF2790
- Base-36: LAC0
Squares and roots of 993168
- 993168 squared (9931682) is 986382676224
- 993168 cubed (9931683) is 979643709780037632
-
The
square root of 993168 is 996.5781454557 -
The
cube root of 993168 is 99.7717460645
Scales and comparisons
How big is 993168?- 993,168 seconds is equal to 1 week, 4 days, 11 hours, 52 minutes, 48 seconds.
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To count from 1 to 993,168 would take you about four 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 993168 cubic inches would be around 8.3 feet tall.
Recreational maths with 993168
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The information we have on file for 993168 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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