# 1980

## 1,980 is an even composite number composed of four prime numbers multiplied together.

What does the number 1980 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

1980 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 1980:

### 22 × 32 × 5 × 11

(2 × 2 × 3 × 3 × 5 × 11)

See below for interesting mathematical facts about the number 1980 from the Numbermatics database.

### Names of 1980

• Cardinal: 1980 can be written as One thousand, nine hundred eighty.

### Scientific notation

• Scientific notation: 1.98 × 103

### Factors of 1980

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 21

### Divisors of 1980

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 6552
• Sum of proper divisors (its aliquot sum) s(n): 4572
• 1980 is an abundant number, because the sum of its proper divisors (4572) is greater than itself. Its abundance is 2592

### Bases of 1980

• Binary: 111101111002
• Base-36: 1J0

### Squares and roots of 1980

• 1980 squared (19802) is 3920400
• 1980 cubed (19803) is 7762392000
• The square root of 1980 is 44.4971909225
• The cube root of 1980 is 12.5570723563

### Scales and comparisons

How big is 1980?
• 1,980 seconds is equal to 33 minutes.
• To count from 1 to 1,980 would take you about thirty-three 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 1980 cubic inches would be around 1 feet tall.

### Recreational maths with 1980

• 1980 backwards is 0891
• 1980 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1980's digits is 18
• More coming soon!