13200

13,200 is an even composite number composed of four prime numbers multiplied together.

What does the number 13200 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

13200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 13200:

24 × 3 × 52 × 11

(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 13200 from the Numbermatics database.

Names of 13200

• Cardinal: 13200 can be written as Thirteen thousand, two hundred.

Scientific notation

• Scientific notation: 1.32 × 104

Factors of 13200

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 21

Divisors of 13200

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 46128
• Sum of proper divisors (its aliquot sum) s(n): 32928
• 13200 is an abundant number, because the sum of its proper divisors (32928) is greater than itself. Its abundance is 19728

Bases of 13200

• Binary: 110011100100002
• Base-36: A6O

Squares and roots of 13200

• 13200 squared (132002) is 174240000
• 13200 cubed (132003) is 2299968000000
• The square root of 13200 is 114.8912529307
• The cube root of 13200 is 23.6333150093

Scales and comparisons

How big is 13200?
• 13,200 seconds is equal to 3 hours, 40 minutes.
• To count from 1 to 13,200 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 13200 cubic inches would be around 2 feet tall.

Recreational maths with 13200

• 13200 backwards is 00231
• 13200 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13200's digits is 6
• More coming soon!

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