12828960
12,828,960 is an even composite number composed of five prime numbers multiplied together.
12828960 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 12828960:
25 × 32 × 5 × 59 × 151
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 59 × 151)See below for interesting mathematical facts about the number 12828960 from the Numbermatics database.
Names of 12828960
- Cardinal: 12828960 can be written as Twelve million, eight hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.282896 × 107
Factors of 12828960
Divisors of 12828960
- Number of divisors d(n): 144
-
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 59 60 72 80 90 96 118 120 144 151 160 177 180 236 240 288 295 302 354 360 453 472 480 531 590 604 708 720 755 885 906 944 1062 1180 1208 1359 1416 1440 1510 1770 1812 1888 2124 2265 2360 2416 2655 2718 2832 3020 3540 3624 4248 4530 4720 4832 5310 5436 5664 6040 6795 7080 7248 8496 8909 9060 9440 10620 10872 12080 13590 14160 14496 16992 17818 18120 21240 21744 24160 26727 27180 28320 35636 36240 42480 43488 44545 53454 54360 71272 72480 80181 84960 89090 106908 108720 133635 142544 160362 178180 213816 217440 267270 285088 320724 356360 400905 427632 534540 641448 712720 801810 855264 1069080 1282896 1425440 1603620 2138160 2565792 3207240 4276320 6414480 12828960
- Sum of all divisors σ(n): 44815680
- Sum of proper divisors (its aliquot sum) s(n): 31986720
- 12828960 is an abundant number, because the sum of its proper divisors (31986720) is greater than itself. Its abundance is 19157760
Bases of 12828960
- Binary: 1100001111000001001000002
- Hexadecimal: 0xC3C120
- Base-36: 7MYW0
Squares and roots of 12828960
- 12828960 squared (128289602) is 164582214681600
- 12828960 cubed (128289603) is 2111418648861659136000
-
The
square root of 12828960 is 3581.7537603807 -
The
cube root of 12828960 is 234.0977019141
Scales and comparisons
How big is 12828960?- 12,828,960 seconds is equal to 21 weeks, 1 day, 11 hours, 36 minutes.
-
To count from 1 to 12,828,960 would take you about thirty-one weeks!
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 12828960 cubic inches would be around 19.5 feet tall.
Recreational maths with 12828960
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The information we have on file for 12828960 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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