# 4640

## 4,640 is an even composite number composed of three prime numbers multiplied together.

What does the number 4640 look like?

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

4640 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 4640:

### 25 × 5 × 29

(2 × 2 × 2 × 2 × 2 × 5 × 29)

See below for interesting mathematical facts about the number 4640 from the Numbermatics database.

### Names of 4640

• Cardinal: 4640 can be written as Four thousand, six hundred forty.

### Scientific notation

• Scientific notation: 4.64 × 103

### Factors of 4640

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 36

### Divisors of 4640

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 11340
• Sum of proper divisors (its aliquot sum) s(n): 6700
• 4640 is an abundant number, because the sum of its proper divisors (6700) is greater than itself. Its abundance is 2060

### Bases of 4640

• Binary: 10010001000002
• Base-36: 3KW

### Squares and roots of 4640

• 4640 squared (46402) is 21529600
• 4640 cubed (46403) is 99897344000
• The square root of 4640 is 68.1175454637
• The cube root of 4640 is 16.6791018309

### Scales and comparisons

How big is 4640?
• 4,640 seconds is equal to 1 hour, 17 minutes, 20 seconds.
• To count from 1 to 4,640 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 4640 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4640

• 4640 backwards is 0464
• The number of decimal digits it has is: 4
• The sum of 4640's digits is 14
• More coming soon!