# 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
• Hexadecimal: 0x9000
• 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!

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The information we have on file for 36864 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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