10290400
10,290,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 10290400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.
10290400 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 10290400:
25 × 52 × 19 × 677
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 677)See below for interesting mathematical facts about the number 10290400 from the Numbermatics database.
Names of 10290400
- Cardinal: 10290400 can be written as Ten million, two hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.02904 × 107
Factors of 10290400
Divisors of 10290400
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 677 760 800 950 1354 1520 1900 2708 3040 3385 3800 5416 6770 7600 10832 12863 13540 15200 16925 21664 25726 27080 33850 51452 54160 64315 67700 102904 108320 128630 135400 205808 257260 270800 321575 411616 514520 541600 643150 1029040 1286300 2058080 2572600 5145200 10290400
- Sum of all divisors σ(n): 26482680
- Sum of proper divisors (its aliquot sum) s(n): 16192280
- 10290400 is an abundant number, because the sum of its proper divisors (16192280) is greater than itself. Its abundance is 5901880
Bases of 10290400
- Binary: 1001110100000100111000002
- Hexadecimal: 0x9D04E0
- Base-36: 64K4G
Squares and roots of 10290400
- 10290400 squared (102904002) is 105892332160000
- 10290400 cubed (102904003) is 1089674454859264000000
-
The
square root of 10290400 is 3207.8653338319 -
The
cube root of 10290400 is 217.5090937317
Scales and comparisons
How big is 10290400?- 10,290,400 seconds is equal to 17 weeks, 2 hours, 26 minutes, 40 seconds.
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To count from 1 to 10,290,400 would take you about twenty-five 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 10290400 cubic inches would be around 18.1 feet tall.
Recreational maths with 10290400
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The information we have on file for 10290400 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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