12264

12,264 is an even composite number composed of four prime numbers multiplied together.

What does the number 12264 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

12264 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 12264:

2³ × 3 × 7 × 73

(2 × 2 × 2 × 3 × 7 × 73)

See below for interesting mathematical facts about the number 12264 from the Numbermatics database.

Names of 12264

Cardinal: 12264 can be written as Twelve thousand, two hundred sixty-four.

Scientific notation

Scientific notation: 1.2264 × 10⁴

Factors of 12264

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 85

Divisors of 12264

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 12264
Sum of all divisors σ(n): 35520
Sum of proper divisors (its aliquot sum) s(n): 23256
12264 is an abundant number, because the sum of its proper divisors (23256) is greater than itself. Its abundance is 10992

Bases of 12264

Binary: 10111111101000₂
Hexadecimal: 0x2FE8
Base-36: 9GO

Squares and roots of 12264

12264 squared (12264²) is 150405696
12264 cubed (12264³) is 1844575455744
The square root of 12264 is 110.7429455993
The cube root of 12264 is 23.0609599003

Scales and comparisons

How big is 12264?

12,264 seconds is equal to 3 hours, 24 minutes, 24 seconds.
To count from 1 to 12,264 would take you about three 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 12264 cubic inches would be around 1.9 feet tall.

Recreational maths with 12264

12264 backwards is 46221
The number of decimal digits it has is: 5
The sum of 12264's digits is 15
More coming soon!

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The information we have on file for 12264 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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