# 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!

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"Number 1980 - Facts about the integer". Numbermatics.com. 2021. Web. 23 October 2021.

APA style:
Numbermatics. (2021). Number 1980 - Facts about the integer. Retrieved 23 October 2021, from https://numbermatics.com/n/1980/

Chicago style:
Numbermatics. 2021. "Number 1980 - Facts about the integer". https://numbermatics.com/n/1980/

The information we have on file for 1980 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!

Keywords: Divisors of 1980, math, Factors of 1980, curriculum, school, college, exams, university, Prime factorization of 1980, STEM, science, technology, engineering, physics, economics, calculator, one thousand, nine hundred eighty.

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