# 1020

## 1,020 is an even composite number composed of four prime numbers multiplied together.

What does the number 1020 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

1020 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1020:

### 22 × 3 × 5 × 17

(2 × 2 × 3 × 5 × 17)

See below for interesting mathematical facts about the number 1020 from the Numbermatics database.

### Names of 1020

• Cardinal: 1020 can be written as One thousand and twenty.

### Scientific notation

• Scientific notation: 1.02 × 103

### Factors of 1020

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 27

### Divisors of 1020

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 3024
• Sum of proper divisors (its aliquot sum) s(n): 2004
• 1020 is an abundant number, because the sum of its proper divisors (2004) is greater than itself. Its abundance is 984

### Bases of 1020

• Binary: 11111111002
• Base-36: SC

### Squares and roots of 1020

• 1020 squared (10202) is 1040400
• 1020 cubed (10203) is 1061208000
• The square root of 1020 is 31.9374388455
• The cube root of 1020 is 10.0662270957

### Scales and comparisons

How big is 1020?
• 1,020 seconds is equal to 17 minutes.
• To count from 1 to 1,020 would take you about seventeen 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 1020 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1020

• 1020 backwards is 0201
• 1020 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1020's digits is 3
• More coming soon!