55440

55,440 is an even composite number composed of five prime numbers multiplied together.

What does the number 55440 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 120 divisors.

55440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.

Prime factorization of 55440:

24 × 32 × 5 × 7 × 11

(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11)

See below for interesting mathematical facts about the number 55440 from the Numbermatics database.

Names of 55440

• Cardinal: 55440 can be written as Fifty-five thousand, four hundred forty.

Scientific notation

• Scientific notation: 5.544 × 104

Factors of 55440

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 28

Divisors of 55440

• Number of divisors d(n): 120
• Complete list of divisors:
• Sum of all divisors σ(n): 232128
• Sum of proper divisors (its aliquot sum) s(n): 176688
• 55440 is an abundant number, because the sum of its proper divisors (176688) is greater than itself. Its abundance is 121248

Bases of 55440

• Binary: 11011000100100002
• Base-36: 16S0

Squares and roots of 55440

• 55440 squared (554402) is 3073593600
• 55440 cubed (554403) is 170400029184000
• The square root of 55440 is 235.4570024443
• The cube root of 55440 is 38.1306674365

Scales and comparisons

How big is 55440?
• 55,440 seconds is equal to 15 hours, 24 minutes.
• To count from 1 to 55,440 would take you about fifteen 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 55440 cubic inches would be around 3.2 feet tall.

Recreational maths with 55440

• 55440 backwards is 04455
• 55440 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 55440's digits is 18
• More coming soon!

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