# 15264

## 15,264 is an even composite number composed of three prime numbers multiplied together.

What does the number 15264 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

15264 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 15264:

### 25 × 32 × 53

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 53)

See below for interesting mathematical facts about the number 15264 from the Numbermatics database.

### Names of 15264

• Cardinal: 15264 can be written as Fifteen thousand, two hundred sixty-four.

### Scientific notation

• Scientific notation: 1.5264 × 104

### Factors of 15264

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 58

### Divisors of 15264

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 44226
• Sum of proper divisors (its aliquot sum) s(n): 28962
• 15264 is an abundant number, because the sum of its proper divisors (28962) is greater than itself. Its abundance is 13698

### Bases of 15264

• Binary: 111011101000002
• Base-36: BS0

### Squares and roots of 15264

• 15264 squared (152642) is 232989696
• 15264 cubed (152643) is 3556354719744
• The square root of 15264 is 123.5475616919
• The cube root of 15264 is 24.8059645729

### Scales and comparisons

How big is 15264?
• 15,264 seconds is equal to 4 hours, 14 minutes, 24 seconds.
• To count from 1 to 15,264 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 15264 cubic inches would be around 2.1 feet tall.

### Recreational maths with 15264

• 15264 backwards is 46251
• 15264 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 15264's digits is 18
• More coming soon!