# 1940

## 1,940 is an even composite number composed of three prime numbers multiplied together.

What does the number 1940 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

1940 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1940:

### 22 × 5 × 97

(2 × 2 × 5 × 97)

See below for interesting mathematical facts about the number 1940 from the Numbermatics database.

### Names of 1940

• Cardinal: 1940 can be written as One thousand, nine hundred forty.

### Scientific notation

• Scientific notation: 1.94 × 103

### Factors of 1940

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 104

### Divisors of 1940

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4116
• Sum of proper divisors (its aliquot sum) s(n): 2176
• 1940 is an abundant number, because the sum of its proper divisors (2176) is greater than itself. Its abundance is 236

### Bases of 1940

• Binary: 111100101002
• Base-36: 1HW

### Squares and roots of 1940

• 1940 squared (19402) is 3763600
• 1940 cubed (19403) is 7301384000
• The square root of 1940 is 44.0454310911
• The cube root of 1940 is 12.4719370447

### Scales and comparisons

How big is 1940?
• 1,940 seconds is equal to 32 minutes, 20 seconds.
• To count from 1 to 1,940 would take you about thirty-two 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 1940 cubic inches would be around 1 feet tall.

### Recreational maths with 1940

• 1940 backwards is 0491
• The number of decimal digits it has is: 4
• The sum of 1940's digits is 14
• More coming soon!