4128800
4,128,800 is an even composite number composed of four prime numbers multiplied together.
4128800 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 4128800:
25 × 52 × 13 × 397
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 397)See below for interesting mathematical facts about the number 4128800 from the Numbermatics database.
Names of 4128800
- Cardinal: 4128800 can be written as Four million, one hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.1288 × 106
Factors of 4128800
Divisors of 4128800
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 397 400 416 520 650 794 800 1040 1300 1588 1985 2080 2600 3176 3970 5161 5200 6352 7940 9925 10322 10400 12704 15880 19850 20644 25805 31760 39700 41288 51610 63520 79400 82576 103220 129025 158800 165152 206440 258050 317600 412880 516100 825760 1032200 2064400 4128800
- Sum of all divisors σ(n): 10882116
- Sum of proper divisors (its aliquot sum) s(n): 6753316
- 4128800 is an abundant number, because the sum of its proper divisors (6753316) is greater than itself. Its abundance is 2624516
Bases of 4128800
- Binary: 11111100000000001000002
- Hexadecimal: 0x3F0020
- Base-36: 2GHSW
Squares and roots of 4128800
- 4128800 squared (41288002) is 17046989440000
- 4128800 cubed (41288003) is 70383609999872000000
-
The
square root of 4128800 is 2031.9448811423 -
The
cube root of 4128800 is 160.4259483769
Scales and comparisons
How big is 4128800?- 4,128,800 seconds is equal to 6 weeks, 5 days, 18 hours, 53 minutes, 20 seconds.
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To count from 1 to 4,128,800 would take you about ten 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 4128800 cubic inches would be around 13.4 feet tall.
Recreational maths with 4128800
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The information we have on file for 4128800 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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