# 15360

## 15,360 is an even composite number composed of three prime numbers multiplied together.

What does the number 15360 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 44 divisors.

15360 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-four divisors.

## Prime factorization of 15360:

### 210 × 3 × 5

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

See below for interesting mathematical facts about the number 15360 from the Numbermatics database.

### Names of 15360

• Cardinal: 15360 can be written as Fifteen thousand, three hundred sixty.

### Scientific notation

• Scientific notation: 1.536 × 104

### Factors of 15360

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 10

### Divisors of 15360

• Number of divisors d(n): 44
• Complete list of divisors:
• Sum of all divisors σ(n): 49128
• Sum of proper divisors (its aliquot sum) s(n): 33768
• 15360 is an abundant number, because the sum of its proper divisors (33768) is greater than itself. Its abundance is 18408

### Bases of 15360

• Binary: 111100000000002
• Base-36: BUO

### Squares and roots of 15360

• 15360 squared (153602) is 235929600
• 15360 cubed (153603) is 3623878656000
• The square root of 15360 is 123.9354670787
• The cube root of 15360 is 24.8578600477

### Scales and comparisons

How big is 15360?
• 15,360 seconds is equal to 4 hours, 16 minutes.
• To count from 1 to 15,360 would take you about four 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 15360 cubic inches would be around 2.1 feet tall.

### Recreational maths with 15360

• 15360 backwards is 06351
• 15360 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 15360's digits is 15
• More coming soon!