10006400
10,006,400 is an even composite number composed of four prime numbers multiplied together.
10006400 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 10006400:
27 × 52 × 53 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 53 × 59)See below for interesting mathematical facts about the number 10006400 from the Numbermatics database.
Names of 10006400
- Cardinal: 10006400 can be written as Ten million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.00064 × 107
Factors of 10006400
Divisors of 10006400
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 53 59 64 80 100 106 118 128 160 200 212 236 265 295 320 400 424 472 530 590 640 800 848 944 1060 1180 1325 1475 1600 1696 1888 2120 2360 2650 2950 3127 3200 3392 3776 4240 4720 5300 5900 6254 6784 7552 8480 9440 10600 11800 12508 15635 16960 18880 21200 23600 25016 31270 33920 37760 42400 47200 50032 62540 78175 84800 94400 100064 125080 156350 169600 188800 200128 250160 312700 400256 500320 625400 1000640 1250800 2001280 2501600 5003200 10006400
- Sum of all divisors σ(n): 25612200
- Sum of proper divisors (its aliquot sum) s(n): 15605800
- 10006400 is an abundant number, because the sum of its proper divisors (15605800) is greater than itself. Its abundance is 5599400
Bases of 10006400
- Binary: 1001100010101111100000002
- Hexadecimal: 0x98AF80
- Base-36: 5YGZK
Squares and roots of 10006400
- 10006400 squared (100064002) is 100128040960000
- 10006400 cubed (100064003) is 1001921229062144000000
-
The
square root of 10006400 is 3163.2894271627 -
The
cube root of 10006400 is 215.4894204749
Scales and comparisons
How big is 10006400?- 10,006,400 seconds is equal to 16 weeks, 3 days, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 10,006,400 would take you about twenty-four 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 10006400 cubic inches would be around 18 feet tall.
Recreational maths with 10006400
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The information we have on file for 10006400 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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