13824

13,824 is an even composite number composed of two prime numbers multiplied together.

What does the number 13824 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 40 divisors.

13824 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 13824:

29 × 33

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 13824 from the Numbermatics database.

Names of 13824

• Cardinal: 13824 can be written as Thirteen thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.3824 × 104

Factors of 13824

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5

Divisors of 13824

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 40920
• Sum of proper divisors (its aliquot sum) s(n): 27096
• 13824 is an abundant number, because the sum of its proper divisors (27096) is greater than itself. Its abundance is 13272

Bases of 13824

• Binary: 110110000000002
• Base-36: AO0

Squares and roots of 13824

• 13824 squared (138242) is 191102976
• 13824 cubed (138243) is 2641807540224
• The square root of 13824 is 117.5755076535
• 13824 is a perfect cube number. Its cube root is 24

Scales and comparisons

How big is 13824?
• 13,824 seconds is equal to 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 13,824 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 13824 cubic inches would be around 2 feet tall.

Recreational maths with 13824

• 13824 backwards is 42831
• 13824 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13824's digits is 18
• More coming soon!

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