315120
315,120 is an even composite number composed of five prime numbers multiplied together.
315120 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 315120:
24 × 3 × 5 × 13 × 101
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 101)See below for interesting mathematical facts about the number 315120 from the Numbermatics database.
Names of 315120
- Cardinal: 315120 can be written as Three hundred fifteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.1512 × 105
Factors of 315120
Divisors of 315120
- Number of divisors d(n): 80
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 101 104 120 130 156 195 202 208 240 260 303 312 390 404 505 520 606 624 780 808 1010 1040 1212 1313 1515 1560 1616 2020 2424 2626 3030 3120 3939 4040 4848 5252 6060 6565 7878 8080 10504 12120 13130 15756 19695 21008 24240 26260 31512 39390 52520 63024 78780 105040 157560 315120
- Sum of all divisors σ(n): 1062432
- Sum of proper divisors (its aliquot sum) s(n): 747312
- 315120 is an abundant number, because the sum of its proper divisors (747312) is greater than itself. Its abundance is 432192
Bases of 315120
- Binary: 10011001110111100002
- Hexadecimal: 0x4CEF0
- Base-36: 6R5C
Squares and roots of 315120
- 315120 squared (3151202) is 99300614400
- 315120 cubed (3151203) is 31291609609728000
-
The
square root of 315120 is 561.3555023335 -
The
cube root of 315120 is 68.0495601795
Scales and comparisons
How big is 315120?- 315,120 seconds is equal to 3 days, 15 hours, 32 minutes.
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To count from 1 to 315,120 would take you about three 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 315120 cubic inches would be around 5.7 feet tall.
Recreational maths with 315120
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The information we have on file for 315120 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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