10130400
10,130,400 is an even composite number composed of five prime numbers multiplied together.
10130400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 10130400:
25 × 33 × 52 × 7 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 67)See below for interesting mathematical facts about the number 10130400 from the Numbermatics database.
Names of 10130400
- Cardinal: 10130400 can be written as Ten million, one hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.01304 × 107
Factors of 10130400
Divisors of 10130400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 67 70 72 75 80 84 90 96 100 105 108 112 120 126 134 135 140 144 150 160 168 175 180 189 200 201 210 216 224 225 240 252 268 270 280 288 300 315 335 336 350 360 378 400 402 420 432 450 469 480 504 525 536 540 560 600 603 630 670 672 675 700 720 756 800 804 840 864 900 938 945 1005 1008 1050 1072 1080 1120 1200 1206 1260 1340 1350 1400 1407 1440 1512 1575 1608 1675 1680 1800 1809 1876 1890 2010 2016 2100 2144 2160 2345 2400 2412 2520 2680 2700 2800 2814 3015 3024 3150 3216 3350 3360 3600 3618 3752 3780 4020 4200 4221 4320 4690 4725 4824 5025 5040 5360 5400 5600 5628 6030 6048 6300 6432 6700 7035 7200 7236 7504 7560 8040 8400 8442 9045 9380 9450 9648 10050 10080 10720 10800 11256 11725 12060 12600 12663 13400 14070 14472 15008 15075 15120 16080 16800 16884 18090 18760 18900 19296 20100 21105 21600 22512 23450 24120 25200 25326 26800 28140 28944 30150 30240 32160 33768 35175 36180 37520 37800 40200 42210 45024 45225 46900 48240 50400 50652 53600 56280 57888 60300 63315 67536 70350 72360 75040 75600 80400 84420 90450 93800 96480 101304 105525 112560 120600 126630 135072 140700 144720 151200 160800 168840 180900 187600 202608 211050 225120 241200 253260 281400 289440 316575 337680 361800 375200 405216 422100 482400 506520 562800 633150 675360 723600 844200 1013040 1125600 1266300 1447200 1688400 2026080 2532600 3376800 5065200 10130400
- Sum of all divisors σ(n): 42497280
- Sum of proper divisors (its aliquot sum) s(n): 32366880
- 10130400 is an abundant number, because the sum of its proper divisors (32366880) is greater than itself. Its abundance is 22236480
Bases of 10130400
- Binary: 1001101010010011111000002
- Hexadecimal: 0x9A93E0
- Base-36: 614O0
Squares and roots of 10130400
- 10130400 squared (101304002) is 102625004160000
- 10130400 cubed (101304003) is 1039632342142464000000
-
The
square root of 10130400 is 3182.8289303699 -
The
cube root of 10130400 is 216.3758886993
Scales and comparisons
How big is 10130400?- 10,130,400 seconds is equal to 16 weeks, 5 days, 6 hours.
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To count from 1 to 10,130,400 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 10130400 cubic inches would be around 18 feet tall.
Recreational maths with 10130400
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The information we have on file for 10130400 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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