# 240

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

What does the number 240 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

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

## Prime factorization of 240:

### 24 × 3 × 5

(2 × 2 × 2 × 2 × 3 × 5)

See below for interesting mathematical facts about the number 240 from the Numbermatics database.

### Names of 240

• Cardinal: 240 can be written as Two hundred forty.

### Scientific notation

• Scientific notation: 2.4 × 102

### Factors of 240

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

### Divisors of 240

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 744
• Sum of proper divisors (its aliquot sum) s(n): 504
• 240 is an abundant number, because the sum of its proper divisors (504) is greater than itself. Its abundance is 264

### Bases of 240

• Binary: 111100002
• Base-36: 6O

### Squares and roots of 240

• 240 squared (2402) is 57600
• 240 cubed (2403) is 13824000
• The square root of 240 is 15.4919333849
• The cube root of 240 is 6.2144650119

### Scales and comparisons

How big is 240?
• 240 seconds is equal to 4 minutes.
• To count from 1 to 240 would take you about 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 240 cubic inches would be around 0.5 feet tall.

### Recreational maths with 240

• 240 backwards is 042
• 240 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 240's digits is 6
• More coming soon!