# 64000

## 64,000 is an even composite number composed of two prime numbers multiplied together.

What does the number 64000 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 40 divisors.

64000 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 64000:

### 29 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 64000 from the Numbermatics database.

### Names of 64000

• Cardinal: 64000 can be written as Sixty-four thousand.

### Scientific notation

• Scientific notation: 6.4 × 104

### Factors of 64000

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 7

### Divisors of 64000

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 159588
• Sum of proper divisors (its aliquot sum) s(n): 95588
• 64000 is an abundant number, because the sum of its proper divisors (95588) is greater than itself. Its abundance is 31588

### Bases of 64000

• Binary: 11111010000000002
• Base-36: 1DDS

### Squares and roots of 64000

• 64000 squared (640002) is 4096000000
• 64000 cubed (640003) is 262144000000000
• The square root of 64000 is 252.9822128135
• 64000 is a perfect cube number. Its cube root is 40

### Scales and comparisons

How big is 64000?
• 64,000 seconds is equal to 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 64,000 would take you about seventeen 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 64000 cubic inches would be around 3.3 feet tall.

### Recreational maths with 64000

• 64000 backwards is 00046
• 64000 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 64000's digits is 10
• More coming soon!