10003968
10,003,968 is an even composite number composed of four prime numbers multiplied together.
10003968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 10003968:
29 × 32 × 13 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 167)See below for interesting mathematical facts about the number 10003968 from the Numbermatics database.
Names of 10003968
- Cardinal: 10003968 can be written as Ten million, three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.0003968 × 107
Factors of 10003968
Divisors of 10003968
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 167 192 208 234 256 288 312 334 384 416 468 501 512 576 624 668 768 832 936 1002 1152 1248 1336 1503 1536 1664 1872 2004 2171 2304 2496 2672 3006 3328 3744 4008 4342 4608 4992 5344 6012 6513 6656 7488 8016 8684 9984 10688 12024 13026 14976 16032 17368 19539 19968 21376 24048 26052 29952 32064 34736 39078 42752 48096 52104 59904 64128 69472 78156 85504 96192 104208 128256 138944 156312 192384 208416 256512 277888 312624 384768 416832 555776 625248 769536 833664 1111552 1250496 1667328 2500992 3334656 5001984 10003968
- Sum of all divisors σ(n): 31279248
- Sum of proper divisors (its aliquot sum) s(n): 21275280
- 10003968 is an abundant number, because the sum of its proper divisors (21275280) is greater than itself. Its abundance is 11271312
Bases of 10003968
- Binary: 1001100010100110000000002
- Hexadecimal: 0x98A600
- Base-36: 5YF40
Squares and roots of 10003968
- 10003968 squared (100039682) is 100079375745024
- 10003968 cubed (100039683) is 1001190872413196255232
-
The
square root of 10003968 is 3162.9049938309 -
The
cube root of 10003968 is 215.4719612243
Scales and comparisons
How big is 10003968?- 10,003,968 seconds is equal to 16 weeks, 3 days, 18 hours, 52 minutes, 48 seconds.
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To count from 1 to 10,003,968 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 10003968 cubic inches would be around 18 feet tall.
Recreational maths with 10003968
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The information we have on file for 10003968 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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