15648

15,648 is an even composite number composed of three prime numbers multiplied together.

What does the number 15648 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

15648 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 15648:

2⁵ × 3 × 163

(2 × 2 × 2 × 2 × 2 × 3 × 163)

See below for interesting mathematical facts about the number 15648 from the Numbermatics database.

Names of 15648

Cardinal: 15648 can be written as Fifteen thousand, six hundred forty-eight.

Scientific notation

Scientific notation: 1.5648 × 10⁴

Factors of 15648

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 168

Divisors of 15648

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 15648
Sum of all divisors σ(n): 41328
Sum of proper divisors (its aliquot sum) s(n): 25680
15648 is an abundant number, because the sum of its proper divisors (25680) is greater than itself. Its abundance is 10032

Bases of 15648

Binary: 11110100100000₂
Hexadecimal: 0x3D20
Base-36: C2O

Squares and roots of 15648

15648 squared (15648²) is 244859904
15648 cubed (15648³) is 3831567777792
The square root of 15648 is 125.0919661689
The cube root of 15648 is 25.0122606527

Scales and comparisons

How big is 15648?

15,648 seconds is equal to 4 hours, 20 minutes, 48 seconds.
To count from 1 to 15,648 would take you about four 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 15648 cubic inches would be around 2.1 feet tall.

Recreational maths with 15648

15648 backwards is 84651
15648 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 15648's digits is 24
More coming soon!

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The information we have on file for 15648 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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