10820480
10,820,480 is an even composite number composed of five prime numbers multiplied together.
10820480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 10820480:
27 × 5 × 11 × 29 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 29 × 53)See below for interesting mathematical facts about the number 10820480 from the Numbermatics database.
Names of 10820480
- Cardinal: 10820480 can be written as Ten million, eight hundred twenty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.082048 × 107
Factors of 10820480
Divisors of 10820480
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 29 32 40 44 53 55 58 64 80 88 106 110 116 128 145 160 176 212 220 232 265 290 319 320 352 424 440 464 530 580 583 638 640 704 848 880 928 1060 1160 1166 1276 1408 1537 1595 1696 1760 1856 2120 2320 2332 2552 2915 3074 3190 3392 3520 3712 4240 4640 4664 5104 5830 6148 6380 6784 7040 7685 8480 9280 9328 10208 11660 12296 12760 15370 16907 16960 18560 18656 20416 23320 24592 25520 30740 33814 33920 37312 40832 46640 49184 51040 61480 67628 74624 84535 93280 98368 102080 122960 135256 169070 186560 196736 204160 245920 270512 338140 373120 491840 541024 676280 983680 1082048 1352560 2164096 2705120 5410240 10820480
- Sum of all divisors σ(n): 29743200
- Sum of proper divisors (its aliquot sum) s(n): 18922720
- 10820480 is an abundant number, because the sum of its proper divisors (18922720) is greater than itself. Its abundance is 8102240
Bases of 10820480
- Binary: 1010010100011011100000002
- Hexadecimal: 0xA51B80
- Base-36: 6FX4W
Squares and roots of 10820480
- 10820480 squared (108204802) is 117082787430400
- 10820480 cubed (108204803) is 1266891959734894592000
-
The
square root of 10820480 is 3289.4498020185 -
The
cube root of 10820480 is 221.1815220001
Scales and comparisons
How big is 10820480?- 10,820,480 seconds is equal to 17 weeks, 6 days, 5 hours, 41 minutes, 20 seconds.
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To count from 1 to 10,820,480 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 10820480 cubic inches would be around 18.4 feet tall.
Recreational maths with 10820480
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