12820320
12,820,320 is an even composite number composed of five prime numbers multiplied together.
12820320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 12820320:
25 × 32 × 5 × 29 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 307)See below for interesting mathematical facts about the number 12820320 from the Numbermatics database.
Names of 12820320
- Cardinal: 12820320 can be written as Twelve million, eight hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.282032 × 107
Factors of 12820320
Divisors of 12820320
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 307 348 360 435 464 480 522 580 614 696 720 870 921 928 1044 1160 1228 1305 1392 1440 1535 1740 1842 2088 2320 2456 2610 2763 2784 3070 3480 3684 4176 4605 4640 4912 5220 5526 6140 6960 7368 8352 8903 9210 9824 10440 11052 12280 13815 13920 14736 17806 18420 20880 22104 24560 26709 27630 29472 35612 36840 41760 44208 44515 49120 53418 55260 71224 73680 80127 88416 89030 106836 110520 133545 142448 147360 160254 178060 213672 221040 267090 284896 320508 356120 400635 427344 442080 534180 641016 712240 801270 854688 1068360 1282032 1424480 1602540 2136720 2564064 3205080 4273440 6410160 12820320
- Sum of all divisors σ(n): 45405360
- Sum of proper divisors (its aliquot sum) s(n): 32585040
- 12820320 is an abundant number, because the sum of its proper divisors (32585040) is greater than itself. Its abundance is 19764720
Bases of 12820320
- Binary: 1100001110011111011000002
- Hexadecimal: 0xC39F60
- Base-36: 7MS80
Squares and roots of 12820320
- 12820320 squared (128203202) is 164360604902400
- 12820320 cubed (128203203) is 2107155550242336768000
-
The
square root of 12820320 is 3580.5474441767 -
The
cube root of 12820320 is 234.0451370303
Scales and comparisons
How big is 12820320?- 12,820,320 seconds is equal to 21 weeks, 1 day, 9 hours, 12 minutes.
-
To count from 1 to 12,820,320 would take you about thirty-one 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 12820320 cubic inches would be around 19.5 feet tall.
Recreational maths with 12820320
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The information we have on file for 12820320 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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