# 540

## 540 is an even composite number composed of three prime numbers multiplied together.

What does the number 540 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

540 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 540:

### 22 × 33 × 5

(2 × 2 × 3 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 540 from the Numbermatics database.

### Names of 540

• Cardinal: 540 can be written as Five hundred forty.

### Scientific notation

• Scientific notation: 5.4 × 102

### Factors of 540

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 10

### Divisors of 540

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 1680
• Sum of proper divisors (its aliquot sum) s(n): 1140
• 540 is an abundant number, because the sum of its proper divisors (1140) is greater than itself. Its abundance is 600

### Bases of 540

• Binary: 10000111002
• Base-36: F0

### Squares and roots of 540

• 540 squared (5402) is 291600
• 540 cubed (5403) is 157464000
• The square root of 540 is 23.2379000773
• The cube root of 540 is 8.1432528501

### Scales and comparisons

How big is 540?
• 540 seconds is equal to 9 minutes.
• To count from 1 to 540 would take you about 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 540 cubic inches would be around 0.7 feet tall.

### Recreational maths with 540

• 540 backwards is 045
• 540 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 540's digits is 9
• More coming soon!