12831200
12,831,200 is an even composite number composed of four prime numbers multiplied together.
12831200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 12831200:
25 × 52 × 43 × 373
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 43 × 373)See below for interesting mathematical facts about the number 12831200 from the Numbermatics database.
Names of 12831200
- Cardinal: 12831200 can be written as Twelve million, eight hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.28312 × 107
Factors of 12831200
Divisors of 12831200
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 160 172 200 215 344 373 400 430 688 746 800 860 1075 1376 1492 1720 1865 2150 2984 3440 3730 4300 5968 6880 7460 8600 9325 11936 14920 16039 17200 18650 29840 32078 34400 37300 59680 64156 74600 80195 128312 149200 160390 256624 298400 320780 400975 513248 641560 801950 1283120 1603900 2566240 3207800 6415600 12831200
- Sum of all divisors σ(n): 32138568
- Sum of proper divisors (its aliquot sum) s(n): 19307368
- 12831200 is an abundant number, because the sum of its proper divisors (19307368) is greater than itself. Its abundance is 6476168
Bases of 12831200
- Binary: 1100001111001001111000002
- Hexadecimal: 0xC3C9E0
- Base-36: 7N0M8
Squares and roots of 12831200
- 12831200 squared (128312002) is 164639693440000
- 12831200 cubed (128312003) is 2112524834467328000000
-
The
square root of 12831200 is 3582.0664427117 -
The
cube root of 12831200 is 234.1113259941
Scales and comparisons
How big is 12831200?- 12,831,200 seconds is equal to 21 weeks, 1 day, 12 hours, 13 minutes, 20 seconds.
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To count from 1 to 12,831,200 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 12831200 cubic inches would be around 19.5 feet tall.
Recreational maths with 12831200
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