# 5600

## 5,600 is an even composite number composed of three prime numbers multiplied together.

What does the number 5600 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

5600 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 5600:

### 25 × 52 × 7

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 5600 from the Numbermatics database.

### Names of 5600

• Cardinal: 5600 can be written as Five thousand, six hundred.

### Scientific notation

• Scientific notation: 5.6 × 103

### Factors of 5600

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 14

### Divisors of 5600

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 15624
• Sum of proper divisors (its aliquot sum) s(n): 10024
• 5600 is an abundant number, because the sum of its proper divisors (10024) is greater than itself. Its abundance is 4424

### Bases of 5600

• Binary: 10101111000002
• Base-36: 4BK

### Squares and roots of 5600

• 5600 squared (56002) is 31360000
• 5600 cubed (56003) is 175616000000
• The square root of 5600 is 74.8331477355
• The cube root of 5600 is 17.7580800349

### Scales and comparisons

How big is 5600?
• 5,600 seconds is equal to 33 minutes, 20 seconds.
• To count from 1 to 5,600 would take you about thirty-three 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 5600 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5600

• 5600 backwards is 0065
• The number of decimal digits it has is: 4
• The sum of 5600's digits is 11
• More coming soon!