1920

1,920 is an even composite number composed of three prime numbers multiplied together.

What does the number 1920 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

1920 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 1920:

27 × 3 × 5

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5)

See below for interesting mathematical facts about the number 1920 from the Numbermatics database.

Names of 1920

• Cardinal: 1920 can be written as One thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.92 × 103

Factors of 1920

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 10

Divisors of 1920

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 6120
• Sum of proper divisors (its aliquot sum) s(n): 4200
• 1920 is an abundant number, because the sum of its proper divisors (4200) is greater than itself. Its abundance is 2280

Bases of 1920

• Binary: 111100000002
• Base-36: 1HC

Squares and roots of 1920

• 1920 squared (19202) is 3686400
• 1920 cubed (19203) is 7077888000
• The square root of 1920 is 43.8178046005
• The cube root of 1920 is 12.4289300239

Scales and comparisons

How big is 1920?
• 1,920 seconds is equal to 32 minutes.
• To count from 1 to 1,920 would take you about thirty-two minutes.

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 1920 cubic inches would be around 1 feet tall.

Recreational maths with 1920

• 1920 backwards is 0291
• 1920 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1920's digits is 12
• More coming soon!

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