# 4680

## 4,680 is an even composite number composed of four prime numbers multiplied together.

What does the number 4680 look like?

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

4680 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 4680:

### 23 × 32 × 5 × 13

(2 × 2 × 2 × 3 × 3 × 5 × 13)

See below for interesting mathematical facts about the number 4680 from the Numbermatics database.

### Names of 4680

• Cardinal: 4680 can be written as Four thousand, six hundred eighty.

### Scientific notation

• Scientific notation: 4.68 × 103

### Factors of 4680

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 23

### Divisors of 4680

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 16380
• Sum of proper divisors (its aliquot sum) s(n): 11700
• 4680 is an abundant number, because the sum of its proper divisors (11700) is greater than itself. Its abundance is 7020

### Bases of 4680

• Binary: 10010010010002
• Base-36: 3M0

### Squares and roots of 4680

• 4680 squared (46802) is 21902400
• 4680 cubed (46803) is 102503232000
• The square root of 4680 is 68.4105255059
• The cube root of 4680 is 16.7268932147

### Scales and comparisons

How big is 4680?
• 4,680 seconds is equal to 1 hour, 18 minutes.
• To count from 1 to 4,680 would take you about eighteen 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 4680 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4680

• 4680 backwards is 0864
• 4680 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4680's digits is 18
• More coming soon!