# 5940

## 5,940 is an even composite number composed of four prime numbers multiplied together.

What does the number 5940 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

5940 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 5940:

### 22 × 33 × 5 × 11

(2 × 2 × 3 × 3 × 3 × 5 × 11)

See below for interesting mathematical facts about the number 5940 from the Numbermatics database.

### Names of 5940

• Cardinal: 5940 can be written as Five thousand, nine hundred forty.

### Scientific notation

• Scientific notation: 5.94 × 103

### Factors of 5940

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 21

### Divisors of 5940

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 20160
• Sum of proper divisors (its aliquot sum) s(n): 14220
• 5940 is an abundant number, because the sum of its proper divisors (14220) is greater than itself. Its abundance is 8280

### Bases of 5940

• Binary: 10111001101002
• Base-36: 4L0

### Squares and roots of 5940

• 5940 squared (59402) is 35283600
• 5940 cubed (59403) is 209584584000
• The square root of 5940 is 77.0713954719
• The cube root of 5940 is 18.1104322103

### Scales and comparisons

How big is 5940?
• 5,940 seconds is equal to 1 hour, 39 minutes.
• To count from 1 to 5,940 would take you about thirty-nine 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 5940 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5940

• 5940 backwards is 0495
• 5940 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5940's digits is 18
• More coming soon!