90480
90,480 is an even composite number composed of five prime numbers multiplied together.
90480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 90480:
24 × 3 × 5 × 13 × 29
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 29)See below for interesting mathematical facts about the number 90480 from the Numbermatics database.
Names of 90480
- Cardinal: 90480 can be written as Ninety thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.048 × 104
Factors of 90480
Divisors of 90480
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1131 1160 1392 1508 1560 1740 1885 2262 2320 3016 3120 3480 3770 4524 5655 6032 6960 7540 9048 11310 15080 18096 22620 30160 45240 90480
- Sum of all divisors σ(n): 312480
- Sum of proper divisors (its aliquot sum) s(n): 222000
- 90480 is an abundant number, because the sum of its proper divisors (222000) is greater than itself. Its abundance is 131520
Bases of 90480
- Binary: 101100001011100002
- Hexadecimal: 0x16170
- Base-36: 1XTC
Squares and roots of 90480
- 90480 squared (904802) is 8186630400
- 90480 cubed (904803) is 740726318592000
-
The
square root of 90480 is 300.7989361683 -
The
cube root of 90480 is 44.8935756669
Scales and comparisons
How big is 90480?- 90,480 seconds is equal to 1 day, 1 hour, 8 minutes.
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To count from 1 to 90,480 would take you about eight minutes.
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 90480 cubic inches would be around 3.7 feet tall.
Recreational maths with 90480
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The information we have on file for 90480 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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