# 13524

## 13,524 is an even composite number composed of four prime numbers multiplied together.

What does the number 13524 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

13524 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 13524:

### 22 × 3 × 72 × 23

(2 × 2 × 3 × 7 × 7 × 23)

See below for interesting mathematical facts about the number 13524 from the Numbermatics database.

### Names of 13524

• Cardinal: 13524 can be written as Thirteen thousand, five hundred twenty-four.

### Scientific notation

• Scientific notation: 1.3524 × 104

### Factors of 13524

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 35

### Divisors of 13524

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 38304
• Sum of proper divisors (its aliquot sum) s(n): 24780
• 13524 is an abundant number, because the sum of its proper divisors (24780) is greater than itself. Its abundance is 11256

### Bases of 13524

• Binary: 110100110101002
• Base-36: AFO

### Squares and roots of 13524

• 13524 squared (135242) is 182898576
• 13524 cubed (135243) is 2473520341824
• The square root of 13524 is 116.2927340809
• The cube root of 13524 is 23.8251176577

### Scales and comparisons

How big is 13524?
• 13,524 seconds is equal to 3 hours, 45 minutes, 24 seconds.
• To count from 1 to 13,524 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 13524 cubic inches would be around 2 feet tall.

### Recreational maths with 13524

• 13524 backwards is 42531
• The number of decimal digits it has is: 5
• The sum of 13524's digits is 15
• More coming soon!