12828800
12,828,800 is an even composite number composed of four prime numbers multiplied together.
What does the number 12828800 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 96 divisors.
12828800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 12828800:
27 × 52 × 19 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 211)See below for interesting mathematical facts about the number 12828800 from the Numbermatics database.
Names of 12828800
- Cardinal: 12828800 can be written as Twelve million, eight hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28288 × 107
Factors of 12828800
Divisors of 12828800
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 211 304 320 380 400 422 475 608 640 760 800 844 950 1055 1216 1520 1600 1688 1900 2110 2432 3040 3200 3376 3800 4009 4220 5275 6080 6752 7600 8018 8440 10550 12160 13504 15200 16036 16880 20045 21100 27008 30400 32072 33760 40090 42200 60800 64144 67520 80180 84400 100225 128288 135040 160360 168800 200450 256576 320720 337600 400900 513152 641440 675200 801800 1282880 1603600 2565760 3207200 6414400 12828800
- Sum of all divisors σ(n): 33517200
- Sum of proper divisors (its aliquot sum) s(n): 20688400
- 12828800 is an abundant number, because the sum of its proper divisors (20688400) is greater than itself. Its abundance is 7859600
Bases of 12828800
- Binary: 1100001111000000100000002
- Hexadecimal: 0xC3C080
- Base-36: 7MYRK
Squares and roots of 12828800
- 12828800 squared (128288002) is 164578109440000
- 12828800 cubed (128288003) is 2111339650383872000000
-
The
square root of 12828800 is 3581.7314248837 -
The
cube root of 12828800 is 234.0967287045
Scales and comparisons
How big is 12828800?- 12,828,800 seconds is equal to 21 weeks, 1 day, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 12,828,800 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 12828800 cubic inches would be around 19.5 feet tall.
Recreational maths with 12828800
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The information we have on file for 12828800 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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