# 1600

## 1,600 is an even composite number composed of two prime numbers multiplied together.

What does the number 1600 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 21 divisors.

1600 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-one divisors.

## Prime factorization of 1600:

### 26 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5)

See below for interesting mathematical facts about the number 1600 from the Numbermatics database.

### Names of 1600

• Cardinal: 1600 can be written as One thousand, six hundred.

### Scientific notation

• Scientific notation: 1.6 × 103

### Factors of 1600

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 7

### Divisors of 1600

• Number of divisors d(n): 21
• Complete list of divisors:
• Sum of all divisors σ(n): 3937
• Sum of proper divisors (its aliquot sum) s(n): 2337
• 1600 is an abundant number, because the sum of its proper divisors (2337) is greater than itself. Its abundance is 737

### Bases of 1600

• Binary: 110010000002
• Base-36: 18G

### Squares and roots of 1600

• 1600 squared (16002) is 2560000
• 1600 cubed (16003) is 4096000000
• 1600 is a perfect square number. Its square root is 40
• The cube root of 1600 is 11.6960709529

### Scales and comparisons

How big is 1600?
• 1,600 seconds is equal to 26 minutes, 40 seconds.
• To count from 1 to 1,600 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 1600 cubic inches would be around 1 feet tall.

### Recreational maths with 1600

• 1600 backwards is 0061
• The number of decimal digits it has is: 4
• The sum of 1600's digits is 7
• More coming soon!