12896800
12,896,800 is an even composite number composed of four prime numbers multiplied together.
12896800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 12896800:
25 × 52 × 73 × 47
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 47)See below for interesting mathematical facts about the number 12896800 from the Numbermatics database.
Names of 12896800
- Cardinal: 12896800 can be written as Twelve million, eight hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28968 × 107
Factors of 12896800
Divisors of 12896800
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 47 49 50 56 70 80 94 98 100 112 140 160 175 188 196 200 224 235 245 280 329 343 350 376 392 400 470 490 560 658 686 700 752 784 800 940 980 1120 1175 1225 1316 1372 1400 1504 1568 1645 1715 1880 1960 2303 2350 2450 2632 2744 2800 3290 3430 3760 3920 4606 4700 4900 5264 5488 5600 6580 6860 7520 7840 8225 8575 9212 9400 9800 10528 10976 11515 13160 13720 16121 16450 17150 18424 18800 19600 23030 26320 27440 32242 32900 34300 36848 37600 39200 46060 52640 54880 57575 64484 65800 68600 73696 80605 92120 115150 128968 131600 137200 161210 184240 230300 257936 263200 274400 322420 368480 403025 460600 515872 644840 806050 921200 1289680 1612100 1842400 2579360 3224200 6448400 12896800
- Sum of all divisors σ(n): 37497600
- Sum of proper divisors (its aliquot sum) s(n): 24600800
- 12896800 is an abundant number, because the sum of its proper divisors (24600800) is greater than itself. Its abundance is 11704000
Bases of 12896800
- Binary: 1100010011001010001000002
- Hexadecimal: 0xC4CA20
- Base-36: 7OF8G
Squares and roots of 12896800
- 12896800 squared (128968002) is 166327450240000
- 12896800 cubed (128968003) is 2145091860255232000000
-
The
square root of 12896800 is 3591.2114947465 -
The
cube root of 12896800 is 234.5096157041
Scales and comparisons
How big is 12896800?- 12,896,800 seconds is equal to 21 weeks, 2 days, 6 hours, 26 minutes, 40 seconds.
-
To count from 1 to 12,896,800 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 12896800 cubic inches would be around 19.5 feet tall.
Recreational maths with 12896800
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The information we have on file for 12896800 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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