2628800
2,628,800 is an even composite number composed of four prime numbers multiplied together.
2628800 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 2628800:
26 × 52 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 53)See below for interesting mathematical facts about the number 2628800 from the Numbermatics database.
Names of 2628800
- Cardinal: 2628800 can be written as Two million, six hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.6288 × 106
Factors of 2628800
Divisors of 2628800
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 53 62 64 80 100 106 124 155 160 200 212 248 265 310 320 400 424 496 530 620 775 800 848 992 1060 1240 1325 1550 1600 1643 1696 1984 2120 2480 2650 3100 3286 3392 4240 4960 5300 6200 6572 8215 8480 9920 10600 12400 13144 16430 16960 21200 24800 26288 32860 41075 42400 49600 52576 65720 82150 84800 105152 131440 164300 262880 328600 525760 657200 1314400 2628800
- Sum of all divisors σ(n): 6803136
- Sum of proper divisors (its aliquot sum) s(n): 4174336
- 2628800 is an abundant number, because the sum of its proper divisors (4174336) is greater than itself. Its abundance is 1545536
Bases of 2628800
- Binary: 10100000011100110000002
- Hexadecimal: 0x281CC0
- Base-36: 1KCE8
Squares and roots of 2628800
- 2628800 squared (26288002) is 6910589440000
- 2628800 cubed (26288003) is 18166557519872000000
-
The
square root of 2628800 is 1621.3574559609 -
The
cube root of 2628800 is 138.0127412447
Scales and comparisons
How big is 2628800?- 2,628,800 seconds is equal to 4 weeks, 2 days, 10 hours, 13 minutes, 20 seconds.
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To count from 1 to 2,628,800 would take you about six 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 2628800 cubic inches would be around 11.5 feet tall.
Recreational maths with 2628800
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The information we have on file for 2628800 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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