# 2064

## 2,064 is an even composite number composed of three prime numbers multiplied together.

What does the number 2064 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

2064 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 2064:

### 24 × 3 × 43

(2 × 2 × 2 × 2 × 3 × 43)

See below for interesting mathematical facts about the number 2064 from the Numbermatics database.

### Names of 2064

• Cardinal: 2064 can be written as Two thousand and sixty-four.

### Scientific notation

• Scientific notation: 2.064 × 103

### Factors of 2064

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 48

### Divisors of 2064

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 5456
• Sum of proper divisors (its aliquot sum) s(n): 3392
• 2064 is an abundant number, because the sum of its proper divisors (3392) is greater than itself. Its abundance is 1328

### Bases of 2064

• Binary: 1000000100002
• Base-36: 1LC

### Squares and roots of 2064

• 2064 squared (20642) is 4260096
• 2064 cubed (20643) is 8792838144
• The square root of 2064 is 45.4312667665
• The cube root of 2064 is 12.7321935209

### Scales and comparisons

How big is 2064?
• 2,064 seconds is equal to 34 minutes, 24 seconds.
• To count from 1 to 2,064 would take you about thirty-four 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 2064 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2064

• 2064 backwards is 4602
• 2064 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2064's digits is 12
• More coming soon!