10680120
10,680,120 is an even composite number composed of six prime numbers multiplied together.
10680120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 10680120:
23 × 33 × 5 × 11 × 29 × 31
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 29 × 31)See below for interesting mathematical facts about the number 10680120 from the Numbermatics database.
Names of 10680120
- Cardinal: 10680120 can be written as Ten million, six hundred eighty thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.068012 × 107
Factors of 10680120
Divisors of 10680120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 29 30 31 33 36 40 44 45 54 55 58 60 62 66 72 87 88 90 93 99 108 110 116 120 124 132 135 145 155 165 174 180 186 198 216 220 232 248 261 264 270 279 290 297 310 319 330 341 348 360 372 396 435 440 465 495 522 540 558 580 594 620 638 660 682 696 744 783 792 837 870 899 930 957 990 1023 1044 1080 1116 1160 1188 1240 1276 1305 1320 1364 1395 1485 1566 1595 1674 1705 1740 1798 1860 1914 1980 2046 2088 2232 2376 2552 2610 2697 2728 2790 2871 2970 3069 3132 3190 3348 3410 3480 3596 3720 3828 3915 3960 4092 4185 4495 4785 5115 5220 5394 5580 5742 5940 6138 6264 6380 6696 6820 7192 7656 7830 8091 8184 8370 8613 8990 9207 9570 9889 10230 10440 10788 11160 11484 11880 12276 12760 13485 13640 14355 15345 15660 16182 16740 17226 17980 18414 19140 19778 20460 21576 22968 24273 24552 26970 28710 29667 30690 31320 32364 33480 34452 35960 36828 38280 39556 40455 40920 43065 46035 48546 49445 53940 57420 59334 61380 64728 68904 73656 79112 80910 86130 89001 92070 97092 98890 107880 114840 118668 121365 122760 148335 161820 172260 178002 184140 194184 197780 237336 242730 267003 296670 323640 344520 356004 368280 395560 445005 485460 534006 593340 712008 890010 970920 1068012 1186680 1335015 1780020 2136024 2670030 3560040 5340060 10680120
- Sum of all divisors σ(n): 41472000
- Sum of proper divisors (its aliquot sum) s(n): 30791880
- 10680120 is an abundant number, because the sum of its proper divisors (30791880) is greater than itself. Its abundance is 20111760
Bases of 10680120
- Binary: 1010001011110111001110002
- Hexadecimal: 0xA2F738
- Base-36: 6CWU0
Squares and roots of 10680120
- 10680120 squared (106801202) is 114064963214400
- 10680120 cubed (106801203) is 1218227494925377728000
-
The
square root of 10680120 is 3268.0452873239 -
The
cube root of 10680120 is 220.2209900623
Scales and comparisons
How big is 10680120?- 10,680,120 seconds is equal to 17 weeks, 4 days, 14 hours, 42 minutes.
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To count from 1 to 10,680,120 would take you about twenty-six 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 10680120 cubic inches would be around 18.4 feet tall.
Recreational maths with 10680120
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The information we have on file for 10680120 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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