12564

12,564 is an even composite number composed of three prime numbers multiplied together.

What does the number 12564 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

12564 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 12564:

2² × 3² × 349

(2 × 2 × 3 × 3 × 349)

See below for interesting mathematical facts about the number 12564 from the Numbermatics database.

Names of 12564

Cardinal: 12564 can be written as Twelve thousand, five hundred sixty-four.

Scientific notation

Scientific notation: 1.2564 × 10⁴

Factors of 12564

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 354

Divisors of 12564

Number of divisors d(n): 18
Complete list of divisors:
1 2 3 4 6 9 12 18 36 349 698 1047 1396 2094 3141 4188 6282 12564
Sum of all divisors σ(n): 31850
Sum of proper divisors (its aliquot sum) s(n): 19286
12564 is an abundant number, because the sum of its proper divisors (19286) is greater than itself. Its abundance is 6722

Bases of 12564

Binary: 11000100010100₂
Hexadecimal: 0x3114
Base-36: 9P0

Squares and roots of 12564

12564 squared (12564²) is 157854096
12564 cubed (12564³) is 1983278862144
The square root of 12564 is 112.0892501537
The cube root of 12564 is 23.2474849863

Scales and comparisons

How big is 12564?

12,564 seconds is equal to 3 hours, 29 minutes, 24 seconds.
To count from 1 to 12,564 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 12564 cubic inches would be around 1.9 feet tall.

Recreational maths with 12564

12564 backwards is 46521
12564 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 12564's digits is 18
More coming soon!

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The information we have on file for 12564 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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