73920

73,920 is an even composite number composed of five prime numbers multiplied together.

What does the number 73920 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 112 divisors.

73920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.

Prime factorization of 73920:

26 × 3 × 5 × 7 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11)

See below for interesting mathematical facts about the number 73920 from the Numbermatics database.

Names of 73920

• Cardinal: 73920 can be written as Seventy-three thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 7.392 × 104

Factors of 73920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 28

Divisors of 73920

• Number of divisors d(n): 112
• Complete list of divisors:
• Sum of all divisors σ(n): 292608
• Sum of proper divisors (its aliquot sum) s(n): 218688
• 73920 is an abundant number, because the sum of its proper divisors (218688) is greater than itself. Its abundance is 144768

Bases of 73920

• Binary: 100100000110000002
• Base-36: 1L1C

Squares and roots of 73920

• 73920 squared (739202) is 5464166400
• 73920 cubed (739203) is 403911180288000
• The square root of 73920 is 271.8823274875
• The cube root of 73920 is 41.9682299425

Scales and comparisons

How big is 73920?
• 73,920 seconds is equal to 20 hours, 32 minutes.
• To count from 1 to 73,920 would take you about twenty 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 73920 cubic inches would be around 3.5 feet tall.

Recreational maths with 73920

• 73920 backwards is 02937
• 73920 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 73920's digits is 21
• More coming soon!

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