# 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!

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The information we have on file for 180 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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