# 12480

## 12,480 is an even composite number composed of four prime numbers multiplied together.

What does the number 12480 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 56 divisors.

12480 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-six divisors.

## Prime factorization of 12480:

### 26 × 3 × 5 × 13

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13)

See below for interesting mathematical facts about the number 12480 from the Numbermatics database.

### Names of 12480

• Cardinal: 12480 can be written as Twelve thousand, four hundred eighty.

### Scientific notation

• Scientific notation: 1.248 × 104

### Factors of 12480

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 23

### Divisors of 12480

• Number of divisors d(n): 56
• Complete list of divisors:
• Sum of all divisors σ(n): 42672
• Sum of proper divisors (its aliquot sum) s(n): 30192
• 12480 is an abundant number, because the sum of its proper divisors (30192) is greater than itself. Its abundance is 17712

### Bases of 12480

• Binary: 110000110000002
• Base-36: 9MO

### Squares and roots of 12480

• 12480 squared (124802) is 155750400
• 12480 cubed (124803) is 1943764992000
• The square root of 12480 is 111.7139203501
• The cube root of 12480 is 23.1955599905

### Scales and comparisons

How big is 12480?
• 12,480 seconds is equal to 3 hours, 28 minutes.
• To count from 1 to 12,480 would take you about three hours.

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 12480 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12480

• 12480 backwards is 08421
• 12480 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12480's digits is 15
• More coming soon!