# 12320

## 12,320 is an even composite number composed of four prime numbers multiplied together.

What does the number 12320 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

12320 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 12320:

### 25 × 5 × 7 × 11

(2 × 2 × 2 × 2 × 2 × 5 × 7 × 11)

See below for interesting mathematical facts about the number 12320 from the Numbermatics database.

### Names of 12320

• Cardinal: 12320 can be written as Twelve thousand, three hundred twenty.

### Scientific notation

• Scientific notation: 1.232 × 104

### Factors of 12320

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 25

### Divisors of 12320

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 36288
• Sum of proper divisors (its aliquot sum) s(n): 23968
• 12320 is an abundant number, because the sum of its proper divisors (23968) is greater than itself. Its abundance is 11648

### Bases of 12320

• Binary: 110000001000002
• Base-36: 9I8

### Squares and roots of 12320

• 12320 squared (123202) is 151782400
• 12320 cubed (123203) is 1869959168000
• The square root of 12320 is 110.9954954041
• The cube root of 12320 is 23.0960070059

### Scales and comparisons

How big is 12320?
• 12,320 seconds is equal to 3 hours, 25 minutes, 20 seconds.
• To count from 1 to 12,320 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 12320 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12320

• 12320 backwards is 02321
• 12320 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12320's digits is 8
• More coming soon!