# 2080

## 2,080 is an even composite number composed of three prime numbers multiplied together.

What does the number 2080 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

2080 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 2080:

### 25 × 5 × 13

(2 × 2 × 2 × 2 × 2 × 5 × 13)

See below for interesting mathematical facts about the number 2080 from the Numbermatics database.

### Names of 2080

• Cardinal: 2080 can be written as Two thousand and eighty.

### Scientific notation

• Scientific notation: 2.08 × 103

### Factors of 2080

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 20

### Divisors of 2080

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 5292
• Sum of proper divisors (its aliquot sum) s(n): 3212
• 2080 is an abundant number, because the sum of its proper divisors (3212) is greater than itself. Its abundance is 1132

### Bases of 2080

• Binary: 1000001000002
• Base-36: 1LS

### Squares and roots of 2080

• 2080 squared (20802) is 4326400
• 2080 cubed (20803) is 8998912000
• The square root of 2080 is 45.6070170039
• The cube root of 2080 is 12.7650085977

### Scales and comparisons

How big is 2080?
• 2,080 seconds is equal to 34 minutes, 40 seconds.
• To count from 1 to 2,080 would take you about thirty-four 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 2080 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2080

• 2080 backwards is 0802
• 2080 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2080's digits is 10
• More coming soon!

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