# 6480

## 6,480 is an even composite number composed of three prime numbers multiplied together.

What does the number 6480 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 50 divisors.

6480 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty divisors.

## Prime factorization of 6480:

### 24 × 34 × 5

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 6480 from the Numbermatics database.

### Names of 6480

• Cardinal: 6480 can be written as Six thousand, four hundred eighty.

### Scientific notation

• Scientific notation: 6.48 × 103

### Factors of 6480

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 10

### Divisors of 6480

• Number of divisors d(n): 50
• Complete list of divisors:
• Sum of all divisors σ(n): 22506
• Sum of proper divisors (its aliquot sum) s(n): 16026
• 6480 is an abundant number, because the sum of its proper divisors (16026) is greater than itself. Its abundance is 9546

### Bases of 6480

• Binary: 11001010100002
• Base-36: 500

### Squares and roots of 6480

• 6480 squared (64802) is 41990400
• 6480 cubed (64803) is 272097792000
• The square root of 6480 is 80.4984471899
• The cube root of 6480 is 18.6433950357

### Scales and comparisons

How big is 6480?
• 6,480 seconds is equal to 1 hour, 48 minutes.
• To count from 1 to 6,480 would take you about forty-eight 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 6480 cubic inches would be around 1.6 feet tall.

### Recreational maths with 6480

• 6480 backwards is 0846
• 6480 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 6480's digits is 18
• More coming soon!