# 5040

## 5,040 is an even composite number composed of four prime numbers multiplied together.

What does the number 5040 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

5040 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 5040:

### 24 × 32 × 5 × 7

(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 5040 from the Numbermatics database.

### Names of 5040

• Cardinal: 5040 can be written as Five thousand and forty.

### Scientific notation

• Scientific notation: 5.04 × 103

### Factors of 5040

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 17

### Divisors of 5040

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 19344
• Sum of proper divisors (its aliquot sum) s(n): 14304
• 5040 is an abundant number, because the sum of its proper divisors (14304) is greater than itself. Its abundance is 9264

### Bases of 5040

• Binary: 10011101100002
• Base-36: 3W0

### Squares and roots of 5040

• 5040 squared (50402) is 25401600
• 5040 cubed (50403) is 128024064000
• The square root of 5040 is 70.9929573971
• The cube root of 5040 is 17.1452377647

### Scales and comparisons

How big is 5040?
• 5,040 seconds is equal to 1 hour, 24 minutes.
• To count from 1 to 5,040 would take you about twenty-four 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 5040 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5040

• 5040 backwards is 0405
• 5040 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5040's digits is 9
• More coming soon!

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The information we have on file for 5040 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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