# 5760

## 5,760 is an even composite number composed of three prime numbers multiplied together.

What does the number 5760 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

5760 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 5760:

### 27 × 32 × 5

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 5760 from the Numbermatics database.

### Names of 5760

• Cardinal: 5760 can be written as Five thousand, seven hundred sixty.

### Scientific notation

• Scientific notation: 5.76 × 103

### Factors of 5760

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 10

### Divisors of 5760

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 19890
• Sum of proper divisors (its aliquot sum) s(n): 14130
• 5760 is an abundant number, because the sum of its proper divisors (14130) is greater than itself. Its abundance is 8370

### Bases of 5760

• Binary: 10110100000002
• Hexadecimal: 0x1680
• Base-36: 4G0

### Squares and roots of 5760

• 5760 squared (57602) is 33177600
• 5760 cubed (57603) is 191102976000
• The square root of 5760 is 75.8946638441
• The cube root of 5760 is 17.9256189863

### Scales and comparisons

How big is 5760?
• 5,760 seconds is equal to 1 hour, 36 minutes.
• To count from 1 to 5,760 would take you about thirty-six 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 5760 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5760

• 5760 backwards is 0675
• 5760 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5760's digits is 18
• More coming soon!

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The information we have on file for 5760 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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