13668

13,668 is an even composite number composed of four prime numbers multiplied together.

What does the number 13668 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

13668 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 13668:

2² × 3 × 17 × 67

(2 × 2 × 3 × 17 × 67)

See below for interesting mathematical facts about the number 13668 from the Numbermatics database.

Names of 13668

Cardinal: 13668 can be written as Thirteen thousand, six hundred sixty-eight.

Scientific notation

Scientific notation: 1.3668 × 10⁴

Factors of 13668

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 89

Divisors of 13668

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 2278 3417 4556 6834 13668
Sum of all divisors σ(n): 34272
Sum of proper divisors (its aliquot sum) s(n): 20604
13668 is an abundant number, because the sum of its proper divisors (20604) is greater than itself. Its abundance is 6936

Bases of 13668

Binary: 11010101100100₂
Hexadecimal: 0x3564
Base-36: AJO

Squares and roots of 13668

13668 squared (13668²) is 186814224
13668 cubed (13668³) is 2553376813632
The square root of 13668 is 116.9102219655
The cube root of 13668 is 23.9093804905

Scales and comparisons

How big is 13668?

13,668 seconds is equal to 3 hours, 47 minutes, 48 seconds.
To count from 1 to 13,668 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 13668 cubic inches would be around 2 feet tall.

Recreational maths with 13668

13668 backwards is 86631
The number of decimal digits it has is: 5
The sum of 13668's digits is 24
More coming soon!

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The information we have on file for 13668 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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