# 4064

## 4,064 is an even composite number composed of two prime numbers multiplied together.

What does the number 4064 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

4064 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 4064:

### 25 × 127

(2 × 2 × 2 × 2 × 2 × 127)

See below for interesting mathematical facts about the number 4064 from the Numbermatics database.

### Names of 4064

• Cardinal: 4064 can be written as Four thousand and sixty-four.

### Scientific notation

• Scientific notation: 4.064 × 103

### Factors of 4064

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 129

### Divisors of 4064

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 8064
• Sum of proper divisors (its aliquot sum) s(n): 4000
• 4064 is a deficient number, because the sum of its proper divisors (4000) is less than itself. Its deficiency is 64

### Bases of 4064

• Binary: 1111111000002
• Base-36: 34W

### Squares and roots of 4064

• 4064 squared (40642) is 16516096
• 4064 cubed (40643) is 67121414144
• The square root of 4064 is 63.7495098021
• The cube root of 4064 is 15.9582243529

### Scales and comparisons

How big is 4064?
• 4,064 seconds is equal to 1 hour, 7 minutes, 44 seconds.
• To count from 1 to 4,064 would take you about seven minutes.

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 4064 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4064

• 4064 backwards is 4604
• The number of decimal digits it has is: 4
• The sum of 4064's digits is 14
• More coming soon!

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"Number 4064 - Facts about the integer". Numbermatics.com. 2023. Web. 5 June 2023.

APA style:
Numbermatics. (2023). Number 4064 - Facts about the integer. Retrieved 5 June 2023, from https://numbermatics.com/n/4064/

Chicago style:
Numbermatics. 2023. "Number 4064 - Facts about the integer". https://numbermatics.com/n/4064/

The information we have on file for 4064 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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