# 32768

## 32,768 is an even composite number. It is composed of a single prime number multiplied by itself fourteen times.

What does the number 32768 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 16 divisors.

32768 is an even composite number. It is composed of one distinct prime number multiplied by itself fourteen times. It has a total of sixteen divisors.

## Prime factorization of 32768:

### 215

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 32768 from the Numbermatics database.

### Names of 32768

• Cardinal: 32768 can be written as Thirty-two thousand, seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 3.2768 × 104

### Factors of 32768

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2

### Divisors of 32768

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 65535
• Sum of proper divisors (its aliquot sum) s(n): 32767
• 32768 is a deficient number, because the sum of its proper divisors (32767) is less than itself. Its deficiency is 1

### Bases of 32768

• Binary: 10000000000000002
• Base-36: PA8

### Squares and roots of 32768

• 32768 squared (327682) is 1073741824
• 32768 cubed (327683) is 35184372088832
• The square root of 32768 is 181.0193359837
• 32768 is a perfect cube number. Its cube root is 32

### Scales and comparisons

How big is 32768?
• 32,768 seconds is equal to 9 hours, 6 minutes, 8 seconds.
• To count from 1 to 32,768 would take you about nine 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 32768 cubic inches would be around 2.7 feet tall.

### Recreational maths with 32768

• 32768 backwards is 86723
• The number of decimal digits it has is: 5
• The sum of 32768's digits is 26
• More coming soon!