890085120
890,085,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 890085120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
890085120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 890085120:
28 × 3 × 5 × 193 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 193 × 1201)See below for interesting mathematical facts about the number 890085120 from the Numbermatics database.
Names of 890085120
- Cardinal: 890085120 can be written as Eight hundred ninety million, eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 8.9008512 × 108
Factors of 890085120
Divisors of 890085120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 256 320 384 386 480 579 640 768 772 960 965 1158 1201 1280 1544 1920 1930 2316 2402 2895 3088 3603 3840 3860 4632 4804 5790 6005 6176 7206 7720 9264 9608 11580 12010 12352 14412 15440 18015 18528 19216 23160 24020 24704 28824 30880 36030 37056 38432 46320 48040 49408 57648 61760 72060 74112 76864 92640 96080 115296 123520 144120 148224 153728 185280 192160 230592 231793 247040 288240 307456 370560 384320 461184 463586 576480 695379 741120 768640 922368 927172 1152960 1158965 1390758 1537280 1854344 2305920 2317930 2781516 3476895 3708688 4611840 4635860 5563032 6953790 7417376 9271720 11126064 13907580 14834752 18543440 22252128 27815160 29669504 37086880 44504256 55630320 59339008 74173760 89008512 111260640 148347520 178017024 222521280 296695040 445042560 890085120
- Sum of all divisors σ(n): 2859817632
- Sum of proper divisors (its aliquot sum) s(n): 1969732512
- 890085120 is an abundant number, because the sum of its proper divisors (1969732512) is greater than itself. Its abundance is 1079647392
Bases of 890085120
- Binary: 1101010000110110011111000000002
- Hexadecimal: 0x350D9F00
- Base-36: EPXM2O
Squares and roots of 890085120
- 890085120 squared (8900851202) is 792251520845414400
- 890085120 cubed (8900851203) is 705171290001873177673728000
-
The
square root of 890085120 is 29834.2943606849 -
The
cube root of 890085120 is 961.9308361517
Scales and comparisons
How big is 890085120?- 890,085,120 seconds is equal to 28 years, 15 weeks, 4 days, 21 hours, 52 minutes.
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To count from 1 to 890,085,120 would take you about forty-two years!
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 890085120 cubic inches would be around 80.2 feet tall.
Recreational maths with 890085120
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