# 1820

## 1,820 is an even composite number composed of four prime numbers multiplied together.

What does the number 1820 look like?

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

1820 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 1820:

### 22 × 5 × 7 × 13

(2 × 2 × 5 × 7 × 13)

See below for interesting mathematical facts about the number 1820 from the Numbermatics database.

### Names of 1820

• Cardinal: 1820 can be written as One thousand, eight hundred twenty.

### Scientific notation

• Scientific notation: 1.82 × 103

### Factors of 1820

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

### Divisors of 1820

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 4704
• Sum of proper divisors (its aliquot sum) s(n): 2884
• 1820 is an abundant number, because the sum of its proper divisors (2884) is greater than itself. Its abundance is 1064

### Bases of 1820

• Binary: 111000111002
• Base-36: 1EK

### Squares and roots of 1820

• 1820 squared (18202) is 3312400
• 1820 cubed (18203) is 6028568000
• The square root of 1820 is 42.6614580151
• The cube root of 1820 is 12.2092914975

### Scales and comparisons

How big is 1820?
• 1,820 seconds is equal to 30 minutes, 20 seconds.
• To count from 1 to 1,820 would take you about thirty 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 1820 cubic inches would be around 1 feet tall.

### Recreational maths with 1820

• 1820 backwards is 0281
• The number of decimal digits it has is: 4
• The sum of 1820's digits is 11
• More coming soon!