13608

13,608 is an even composite number composed of three prime numbers multiplied together.

What does the number 13608 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

13608 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 13608:

23 × 35 × 7

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 13608 from the Numbermatics database.

Names of 13608

• Cardinal: 13608 can be written as Thirteen thousand, six hundred eight.

Scientific notation

• Scientific notation: 1.3608 × 104

Factors of 13608

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 12

Divisors of 13608

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 43680
• Sum of proper divisors (its aliquot sum) s(n): 30072
• 13608 is an abundant number, because the sum of its proper divisors (30072) is greater than itself. Its abundance is 16464

Bases of 13608

• Binary: 110101001010002
• Base-36: AI0

Squares and roots of 13608

• 13608 squared (136082) is 185177664
• 13608 cubed (136083) is 2519897651712
• The square root of 13608 is 116.6533325713
• The cube root of 13608 is 23.8743432473

Scales and comparisons

How big is 13608?
• 13,608 seconds is equal to 3 hours, 46 minutes, 48 seconds.
• To count from 1 to 13,608 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 13608 cubic inches would be around 2 feet tall.

Recreational maths with 13608

• 13608 backwards is 80631
• 13608 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13608's digits is 18
• More coming soon!

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