# 60

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

What does the number 60 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

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

## Prime factorization of 60:

### 22 × 3 × 5

(2 × 2 × 3 × 5)

See below for interesting mathematical facts about the number 60 from the Numbermatics database.

### Names of 60

• Cardinal: 60 can be written as Sixty.

### Scientific notation

• Scientific notation: 6 × 101

### Factors of 60

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 10

### Divisors of 60

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 168
• Sum of proper divisors (its aliquot sum) s(n): 108
• 60 is an abundant number, because the sum of its proper divisors (108) is greater than itself. Its abundance is 48

### Bases of 60

• Binary: 1111002
• Base-36: 1O

### Squares and roots of 60

• 60 squared (602) is 3600
• 60 cubed (603) is 216000
• The square root of 60 is 7.7459666925
• The cube root of 60 is 3.9148676411

### Scales and comparisons

How big is 60?
• 60 seconds is equal to .
• To count from 1 to 60 would take you about thirty seconds.

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 60 cubic inches would be around 0.3 feet tall.

### Recreational maths with 60

• 60 backwards is 06
• 60 is a Harshad number.
• The number of decimal digits it has is: 2
• The sum of 60's digits is 6
• More coming soon!