# 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!