# 12960

## 12,960 is an even composite number composed of three prime numbers multiplied together.

What does the number 12960 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

12960 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 12960:

### 25 × 34 × 5

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

See below for interesting mathematical facts about the number 12960 from the Numbermatics database.

### Names of 12960

• Cardinal: 12960 can be written as Twelve thousand, nine hundred sixty.

### Scientific notation

• Scientific notation: 1.296 × 104

### Factors of 12960

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

### Divisors of 12960

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 45738
• Sum of proper divisors (its aliquot sum) s(n): 32778
• 12960 is an abundant number, because the sum of its proper divisors (32778) is greater than itself. Its abundance is 19818

### Bases of 12960

• Binary: 110010101000002
• Base-36: A00

### Squares and roots of 12960

• 12960 squared (129602) is 167961600
• 12960 cubed (129603) is 2176782336000
• The square root of 12960 is 113.8419957661
• The cube root of 12960 is 23.4892058471

### Scales and comparisons

How big is 12960?
• 12,960 seconds is equal to 3 hours, 36 minutes.
• To count from 1 to 12,960 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 12960 cubic inches would be around 2 feet tall.

### Recreational maths with 12960

• 12960 backwards is 06921
• 12960 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12960's digits is 18
• More coming soon!