996960
996,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 996960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
996960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 996960:
25 × 3 × 5 × 31 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 67)See below for interesting mathematical facts about the number 996960 from the Numbermatics database.
Names of 996960
- Cardinal: 996960 can be written as Nine hundred ninety-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 9.9696 × 105
Factors of 996960
Divisors of 996960
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 67 80 93 96 120 124 134 155 160 186 201 240 248 268 310 335 372 402 465 480 496 536 620 670 744 804 930 992 1005 1072 1240 1340 1488 1608 1860 2010 2077 2144 2480 2680 2976 3216 3720 4020 4154 4960 5360 6231 6432 7440 8040 8308 10385 10720 12462 14880 16080 16616 20770 24924 31155 32160 33232 41540 49848 62310 66464 83080 99696 124620 166160 199392 249240 332320 498480 996960
- Sum of all divisors σ(n): 3290112
- Sum of proper divisors (its aliquot sum) s(n): 2293152
- 996960 is an abundant number, because the sum of its proper divisors (2293152) is greater than itself. Its abundance is 1296192
Bases of 996960
- Binary: 111100110110011000002
- Hexadecimal: 0xF3660
- Base-36: LD9C
Squares and roots of 996960
- 996960 squared (9969602) is 993929241600
- 996960 cubed (9969603) is 990907696705536000
-
The
square root of 996960 is 998.4788430405 -
The
cube root of 996960 is 99.8985638085
Scales and comparisons
How big is 996960?- 996,960 seconds is equal to 1 week, 4 days, 12 hours, 56 minutes.
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To count from 1 to 996,960 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 996960 cubic inches would be around 8.3 feet tall.
Recreational maths with 996960
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The information we have on file for 996960 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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