# 180

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

What does the number 180 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

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

## Prime factorization of 180:

### 22 × 32 × 5

(2 × 2 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 180 from the Numbermatics database.

### Names of 180

• Cardinal: 180 can be written as One hundred eighty.

### Scientific notation

• Scientific notation: 1.8 × 102

### Factors of 180

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 10

### Divisors of 180

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 546
• Sum of proper divisors (its aliquot sum) s(n): 366
• 180 is an abundant number, because the sum of its proper divisors (366) is greater than itself. Its abundance is 186

### Bases of 180

• Binary: 101101002
• Base-36: 50

### Squares and roots of 180

• 180 squared (1802) is 32400
• 180 cubed (1803) is 5832000
• The square root of 180 is 13.4164078650
• The cube root of 180 is 5.6462161733

### Scales and comparisons

How big is 180?
• 180 seconds is equal to 3 minutes.
• To count from 1 to 180 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 180 cubic inches would be around 0.5 feet tall.

### Recreational maths with 180

• 180 backwards is 081
• 180 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 180's digits is 9
• More coming soon!