# 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!

MLA style:
"Number 4680 - Facts about the integer". Numbermatics.com. 2023. Web. 4 February 2023.

APA style:
Numbermatics. (2023). Number 4680 - Facts about the integer. Retrieved 4 February 2023, from https://numbermatics.com/n/4680/

Chicago style:
Numbermatics. 2023. "Number 4680 - Facts about the integer". https://numbermatics.com/n/4680/

The information we have on file for 4680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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