# 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!