966042
966,042 is an even composite number composed of six prime numbers multiplied together.
What does the number 966042 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 96 divisors.
966042 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 966042:
2 × 32 × 7 × 11 × 17 × 41
(2 × 3 × 3 × 7 × 11 × 17 × 41)See below for interesting mathematical facts about the number 966042 from the Numbermatics database.
Names of 966042
- Cardinal: 966042 can be written as Nine hundred sixty-six thousand and forty-two.
Scientific notation
- Scientific notation: 9.66042 × 105
Factors of 966042
Divisors of 966042
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 6 7 9 11 14 17 18 21 22 33 34 41 42 51 63 66 77 82 99 102 119 123 126 153 154 187 198 231 238 246 287 306 357 369 374 451 462 561 574 693 697 714 738 861 902 1071 1122 1309 1353 1386 1394 1683 1722 2091 2142 2583 2618 2706 3157 3366 3927 4059 4182 4879 5166 6273 6314 7667 7854 8118 9471 9758 11781 12546 14637 15334 18942 23001 23562 28413 29274 43911 46002 53669 56826 69003 87822 107338 138006 161007 322014 483021 966042
- Sum of all divisors σ(n): 2830464
- Sum of proper divisors (its aliquot sum) s(n): 1864422
- 966042 is an abundant number, because the sum of its proper divisors (1864422) is greater than itself. Its abundance is 898380
Bases of 966042
- Binary: 111010111101100110102
- Hexadecimal: 0xEBD9A
- Base-36: KPEI
Squares and roots of 966042
- 966042 squared (9660422) is 933237145764
- 966042 cubed (9660423) is 901546278768146088
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The
square root of 966042 is 982.8743561615 -
The
cube root of 966042 is 98.8550066045
Scales and comparisons
How big is 966042?- 966,042 seconds is equal to 1 week, 4 days, 4 hours, 20 minutes, 42 seconds.
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To count from 1 to 966,042 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 966042 cubic inches would be around 8.2 feet tall.
Recreational maths with 966042
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The information we have on file for 966042 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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