# 13832

## 13,832 is an even composite number composed of four prime numbers multiplied together.

What does the number 13832 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

13832 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 13832:

### 23 × 7 × 13 × 19

(2 × 2 × 2 × 7 × 13 × 19)

See below for interesting mathematical facts about the number 13832 from the Numbermatics database.

### Names of 13832

• Cardinal: 13832 can be written as Thirteen thousand, eight hundred thirty-two.

### Scientific notation

• Scientific notation: 1.3832 × 104

### Factors of 13832

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 41

### Divisors of 13832

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 33600
• Sum of proper divisors (its aliquot sum) s(n): 19768
• 13832 is an abundant number, because the sum of its proper divisors (19768) is greater than itself. Its abundance is 5936

### Bases of 13832

• Binary: 110110000010002
• Base-36: AO8

### Squares and roots of 13832

• 13832 squared (138322) is 191324224
• 13832 cubed (138323) is 2646396666368
• The square root of 13832 is 117.6095234239
• The cube root of 13832 is 24.0046287369

### Scales and comparisons

How big is 13832?
• 13,832 seconds is equal to 3 hours, 50 minutes, 32 seconds.
• To count from 1 to 13,832 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 13832 cubic inches would be around 2 feet tall.

### Recreational maths with 13832

• 13832 backwards is 23831
• The number of decimal digits it has is: 5
• The sum of 13832's digits is 17
• More coming soon!