12628800
12,628,800 is an even composite number composed of four prime numbers multiplied together.
12628800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-six divisors.
Prime factorization of 12628800:
26 × 32 × 52 × 877
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 877)See below for interesting mathematical facts about the number 12628800 from the Numbermatics database.
Names of 12628800
- Cardinal: 12628800 can be written as Twelve million, six hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.26288 × 107
Factors of 12628800
Divisors of 12628800
- Number of divisors d(n): 126
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 877 900 960 1200 1440 1600 1754 1800 2400 2631 2880 3508 3600 4385 4800 5262 7016 7200 7893 8770 10524 13155 14032 14400 15786 17540 21048 21925 26310 28064 31572 35080 39465 42096 43850 52620 56128 63144 65775 70160 78930 84192 87700 105240 126288 131550 140320 157860 168384 175400 197325 210480 252576 263100 280640 315720 350800 394650 420960 505152 526200 631440 701600 789300 841920 1052400 1262880 1403200 1578600 2104800 2525760 3157200 4209600 6314400 12628800
- Sum of all divisors σ(n): 44936918
- Sum of proper divisors (its aliquot sum) s(n): 32308118
- 12628800 is an abundant number, because the sum of its proper divisors (32308118) is greater than itself. Its abundance is 19679318
Bases of 12628800
- Binary: 1100000010110011010000002
- Hexadecimal: 0xC0B340
- Base-36: 7IOG0
Squares and roots of 12628800
- 12628800 squared (126288002) is 159486589440000
- 12628800 cubed (126288003) is 2014124240719872000000
-
The
square root of 12628800 is 3553.7022947907 -
The
cube root of 12628800 is 232.8738349425
Scales and comparisons
How big is 12628800?- 12,628,800 seconds is equal to 20 weeks, 6 days, 4 hours.
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To count from 1 to 12,628,800 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 12628800 cubic inches would be around 19.4 feet tall.
Recreational maths with 12628800
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The information we have on file for 12628800 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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