# 1564

## 1,564 is an even composite number composed of three prime numbers multiplied together.

What does the number 1564 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

1564 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1564:

### 22 × 17 × 23

(2 × 2 × 17 × 23)

See below for interesting mathematical facts about the number 1564 from the Numbermatics database.

### Names of 1564

• Cardinal: 1564 can be written as One thousand, five hundred sixty-four.

### Scientific notation

• Scientific notation: 1.564 × 103

### Factors of 1564

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 42

### Divisors of 1564

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 3024
• Sum of proper divisors (its aliquot sum) s(n): 1460
• 1564 is a deficient number, because the sum of its proper divisors (1460) is less than itself. Its deficiency is 104

### Bases of 1564

• Binary: 110000111002
• Base-36: 17G

### Squares and roots of 1564

• 1564 squared (15642) is 2446096
• 1564 cubed (15643) is 3825694144
• The square root of 1564 is 39.5474398665
• The cube root of 1564 is 11.6076841673

### Scales and comparisons

How big is 1564?
• 1,564 seconds is equal to 26 minutes, 4 seconds.
• To count from 1 to 1,564 would take you about twenty-six 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 1564 cubic inches would be around 1 feet tall.

### Recreational maths with 1564

• 1564 backwards is 4651
• The number of decimal digits it has is: 4
• The sum of 1564's digits is 16
• More coming soon!