# 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
• 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 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!