480960
480,960 is an even composite number composed of four prime numbers multiplied together.
What does the number 480960 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.
480960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 480960:
26 × 32 × 5 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 167)See below for interesting mathematical facts about the number 480960 from the Numbermatics database.
Names of 480960
- Cardinal: 480960 can be written as Four hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.8096 × 105
Factors of 480960
Divisors of 480960
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 167 180 192 240 288 320 334 360 480 501 576 668 720 835 960 1002 1336 1440 1503 1670 2004 2505 2672 2880 3006 3340 4008 5010 5344 6012 6680 7515 8016 10020 10688 12024 13360 15030 16032 20040 24048 26720 30060 32064 40080 48096 53440 60120 80160 96192 120240 160320 240480 480960
- Sum of all divisors σ(n): 1664208
- Sum of proper divisors (its aliquot sum) s(n): 1183248
- 480960 is an abundant number, because the sum of its proper divisors (1183248) is greater than itself. Its abundance is 702288
Bases of 480960
- Binary: 11101010110110000002
- Hexadecimal: 0x756C0
- Base-36: AB40
Squares and roots of 480960
- 480960 squared (4809602) is 231322521600
- 480960 cubed (4809603) is 111256879988736000
-
The
square root of 480960 is 693.5127972863 -
The
cube root of 480960 is 78.3495162985
Scales and comparisons
How big is 480960?- 480,960 seconds is equal to 5 days, 13 hours, 36 minutes.
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To count from 1 to 480,960 would take you about five 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 480960 cubic inches would be around 6.5 feet tall.
Recreational maths with 480960
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The information we have on file for 480960 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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