# 36864

## 36,864 is an even composite number composed of two prime numbers multiplied together.

What does the number 36864 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 39 divisors.

36864 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty-nine divisors.

## Prime factorization of 36864:

### 212 × 32

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

See below for interesting mathematical facts about the number 36864 from the Numbermatics database.

### Names of 36864

• Cardinal: 36864 can be written as Thirty-six thousand, eight hundred sixty-four.

### Scientific notation

• Scientific notation: 3.6864 × 104

### Factors of 36864

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5

### Divisors of 36864

• Number of divisors d(n): 39
• Complete list of divisors:
• Sum of all divisors σ(n): 106483
• Sum of proper divisors (its aliquot sum) s(n): 69619
• 36864 is an abundant number, because the sum of its proper divisors (69619) is greater than itself. Its abundance is 32755

### Bases of 36864

• Binary: 10010000000000002
• Base-36: SG0

### Squares and roots of 36864

• 36864 squared (368642) is 1358954496
• 36864 cubed (368643) is 50096498540544
• 36864 is a perfect square number. Its square root is 192
• The cube root of 36864 is 33.2813411687

### Scales and comparisons

How big is 36864?
• 36,864 seconds is equal to 10 hours, 14 minutes, 24 seconds.
• To count from 1 to 36,864 would take you about ten 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 36864 cubic inches would be around 2.8 feet tall.

### Recreational maths with 36864

• 36864 backwards is 46863
• The number of decimal digits it has is: 5
• The sum of 36864's digits is 27
• More coming soon!