3920

3,920 is an even composite number composed of three prime numbers multiplied together.

What does the number 3920 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

3920 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 3920:

24 × 5 × 72

(2 × 2 × 2 × 2 × 5 × 7 × 7)

See below for interesting mathematical facts about the number 3920 from the Numbermatics database.

Names of 3920

• Cardinal: 3920 can be written as Three thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.92 × 103

Factors of 3920

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 14

Divisors of 3920

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 10602
• Sum of proper divisors (its aliquot sum) s(n): 6682
• 3920 is an abundant number, because the sum of its proper divisors (6682) is greater than itself. Its abundance is 2762

Bases of 3920

• Binary: 1111010100002
• Base-36: 30W

Squares and roots of 3920

• 3920 squared (39202) is 15366400
• 3920 cubed (39203) is 60236288000
• The square root of 3920 is 62.6099033699
• The cube root of 3920 is 15.7674703263

Scales and comparisons

How big is 3920?
• 3,920 seconds is equal to 5 minutes, 20 seconds.
• To count from 1 to 3,920 would take you about five 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 3920 cubic inches would be around 1.3 feet tall.

Recreational maths with 3920

• 3920 backwards is 0293
• 3920 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3920's digits is 14
• More coming soon!

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