27264

27,264 is an even composite number composed of three prime numbers multiplied together.

What does the number 27264 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

27264 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 27264:

2⁷ × 3 × 71

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 71)

See below for interesting mathematical facts about the number 27264 from the Numbermatics database.

Names of 27264

Cardinal: 27264 can be written as Twenty-seven thousand, two hundred sixty-four.

Scientific notation

Scientific notation: 2.7264 × 10⁴

Factors of 27264

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 76

Divisors of 27264

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 13632 27264
Sum of all divisors σ(n): 73440
Sum of proper divisors (its aliquot sum) s(n): 46176
27264 is an abundant number, because the sum of its proper divisors (46176) is greater than itself. Its abundance is 18912

Bases of 27264

Binary: 110101010000000₂
Hexadecimal: 0x6A80
Base-36: L1C

Squares and roots of 27264

27264 squared (27264²) is 743325696
27264 cubed (27264³) is 20266031775744
The square root of 27264 is 165.1181395245
The cube root of 27264 is 30.0974608145

Scales and comparisons

How big is 27264?

27,264 seconds is equal to 7 hours, 34 minutes, 24 seconds.
To count from 1 to 27,264 would take you about seven hours.

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 27264 cubic inches would be around 2.5 feet tall.

Recreational maths with 27264

27264 backwards is 46272
The number of decimal digits it has is: 5
The sum of 27264's digits is 21
More coming soon!

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The information we have on file for 27264 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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