13683120
13,683,120 is an even composite number composed of six prime numbers multiplied together.
13683120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 13683120:
24 × 3 × 5 × 11 × 71 × 73
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 71 × 73)See below for interesting mathematical facts about the number 13683120 from the Numbermatics database.
Names of 13683120
- Cardinal: 13683120 can be written as Thirteen million, six hundred eighty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.368312 × 107
Factors of 13683120
Divisors of 13683120
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 71 73 80 88 110 120 132 142 146 165 176 213 219 220 240 264 284 292 330 355 365 426 438 440 528 568 584 660 710 730 781 803 852 876 880 1065 1095 1136 1168 1320 1420 1460 1562 1606 1704 1752 2130 2190 2343 2409 2640 2840 2920 3124 3212 3408 3504 3905 4015 4260 4380 4686 4818 5183 5680 5840 6248 6424 7810 8030 8520 8760 9372 9636 10366 11715 12045 12496 12848 15549 15620 16060 17040 17520 18744 19272 20732 23430 24090 25915 31098 31240 32120 37488 38544 41464 46860 48180 51830 57013 62196 62480 64240 77745 82928 93720 96360 103660 114026 124392 155490 171039 187440 192720 207320 228052 248784 285065 310980 342078 414640 456104 570130 621960 684156 855195 912208 1140260 1243920 1368312 1710390 2280520 2736624 3420780 4561040 6841560 13683120
- Sum of all divisors σ(n): 47568384
- Sum of proper divisors (its aliquot sum) s(n): 33885264
- 13683120 is an abundant number, because the sum of its proper divisors (33885264) is greater than itself. Its abundance is 20202144
Bases of 13683120
- Binary: 1101000011001001101100002
- Hexadecimal: 0xD0C9B0
- Base-36: 859YO
Squares and roots of 13683120
- 13683120 squared (136831202) is 187227772934400
- 13683120 cubed (136831203) is 2561860084394147328000
-
The
square root of 13683120 is 3699.0701534305 -
The
cube root of 13683120 is 239.1819369441
Scales and comparisons
How big is 13683120?- 13,683,120 seconds is equal to 22 weeks, 4 days, 8 hours, 52 minutes.
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To count from 1 to 13,683,120 would take you about thirty-three 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 13683120 cubic inches would be around 19.9 feet tall.
Recreational maths with 13683120
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The information we have on file for 13683120 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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