13768320
13,768,320 is an even composite number composed of five prime numbers multiplied together.
13768320 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 13768320:
27 × 3 × 5 × 71 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 71 × 101)See below for interesting mathematical facts about the number 13768320 from the Numbermatics database.
Names of 13768320
- Cardinal: 13768320 can be written as Thirteen million, seven hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.376832 × 107
Factors of 13768320
Divisors of 13768320
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 101 120 128 142 160 192 202 213 240 284 303 320 355 384 404 426 480 505 568 606 640 710 808 852 960 1010 1065 1136 1212 1420 1515 1616 1704 1920 2020 2130 2272 2424 2840 3030 3232 3408 4040 4260 4544 4848 5680 6060 6464 6816 7171 8080 8520 9088 9696 11360 12120 12928 13632 14342 16160 17040 19392 21513 22720 24240 27264 28684 32320 34080 35855 38784 43026 45440 48480 57368 64640 68160 71710 86052 96960 107565 114736 136320 143420 172104 193920 215130 229472 286840 344208 430260 458944 573680 688416 860520 917888 1147360 1376832 1721040 2294720 2753664 3442080 4589440 6884160 13768320
- Sum of all divisors σ(n): 44945280
- Sum of proper divisors (its aliquot sum) s(n): 31176960
- 13768320 is an abundant number, because the sum of its proper divisors (31176960) is greater than itself. Its abundance is 17408640
Bases of 13768320
- Binary: 1101001000010110100000002
- Hexadecimal: 0xD21680
- Base-36: 873PC
Squares and roots of 13768320
- 13768320 squared (137683202) is 189566635622400
- 13768320 cubed (137683203) is 2610014100572602368000
-
The
square root of 13768320 is 3710.5686895677 -
The
cube root of 13768320 is 239.6773441939
Scales and comparisons
How big is 13768320?- 13,768,320 seconds is equal to 22 weeks, 5 days, 8 hours, 32 minutes.
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To count from 1 to 13,768,320 would take you about thirty-four 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 13768320 cubic inches would be around 20 feet tall.
Recreational maths with 13768320
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The information we have on file for 13768320 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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