# 8064

## 8,064 is an even composite number composed of three prime numbers multiplied together.

What does the number 8064 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

8064 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 8064:

### 27 × 32 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 8064 from the Numbermatics database.

### Names of 8064

• Cardinal: 8064 can be written as Eight thousand and sixty-four.

### Scientific notation

• Scientific notation: 8.064 × 103

### Factors of 8064

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 12

### Divisors of 8064

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 26520
• Sum of proper divisors (its aliquot sum) s(n): 18456
• 8064 is an abundant number, because the sum of its proper divisors (18456) is greater than itself. Its abundance is 10392

### Bases of 8064

• Binary: 11111100000002
• Base-36: 680

### Squares and roots of 8064

• 8064 squared (80642) is 65028096
• 8064 cubed (80643) is 524386566144
• The square root of 8064 is 89.7997772825
• The cube root of 8064 is 20.0531917399

### Scales and comparisons

How big is 8064?
• 8,064 seconds is equal to 2 hours, 14 minutes, 24 seconds.
• To count from 1 to 8,064 would take you about two 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 8064 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8064

• 8064 backwards is 4608
• 8064 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 8064's digits is 18
• More coming soon!

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"Number 8064 - Facts about the integer". Numbermatics.com. 2022. Web. 5 July 2022.

APA style:
Numbermatics. (2022). Number 8064 - Facts about the integer. Retrieved 5 July 2022, from https://numbermatics.com/n/8064/

Chicago style:
Numbermatics. 2022. "Number 8064 - Facts about the integer". https://numbermatics.com/n/8064/

The information we have on file for 8064 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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