12648

12,648 is an even composite number composed of four prime numbers multiplied together.

What does the number 12648 look like?

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

12648 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 12648:

2³ × 3 × 17 × 31

(2 × 2 × 2 × 3 × 17 × 31)

See below for interesting mathematical facts about the number 12648 from the Numbermatics database.

Names of 12648

Cardinal: 12648 can be written as Twelve thousand, six hundred forty-eight.

Scientific notation

Scientific notation: 1.2648 × 10⁴

Factors of 12648

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 53

Divisors of 12648

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 6324 12648
Sum of all divisors σ(n): 34560
Sum of proper divisors (its aliquot sum) s(n): 21912
12648 is an abundant number, because the sum of its proper divisors (21912) is greater than itself. Its abundance is 9264

Bases of 12648

Binary: 11000101101000₂
Hexadecimal: 0x3168
Base-36: 9RC

Squares and roots of 12648

12648 squared (12648²) is 159971904
12648 cubed (12648³) is 2023324641792
The square root of 12648 is 112.4633273561
The cube root of 12648 is 23.2991790559

Scales and comparisons

How big is 12648?

12,648 seconds is equal to 3 hours, 30 minutes, 48 seconds.
To count from 1 to 12,648 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 12648 cubic inches would be around 1.9 feet tall.

Recreational maths with 12648

12648 backwards is 84621
The number of decimal digits it has is: 5
The sum of 12648's digits is 21
More coming soon!

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The information we have on file for 12648 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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