# 1632

## 1,632 is an even composite number composed of three prime numbers multiplied together.

What does the number 1632 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1632 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1632:

### 25 × 3 × 17

(2 × 2 × 2 × 2 × 2 × 3 × 17)

See below for interesting mathematical facts about the number 1632 from the Numbermatics database.

### Names of 1632

• Cardinal: 1632 can be written as One thousand, six hundred thirty-two.

### Scientific notation

• Scientific notation: 1.632 × 103

### Factors of 1632

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 22

### Divisors of 1632

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 4536
• Sum of proper divisors (its aliquot sum) s(n): 2904
• 1632 is an abundant number, because the sum of its proper divisors (2904) is greater than itself. Its abundance is 1272

### Bases of 1632

• Binary: 110011000002
• Base-36: 19C

### Squares and roots of 1632

• 1632 squared (16322) is 2663424
• 1632 cubed (16323) is 4346707968
• The square root of 1632 is 40.3980197537
• The cube root of 1632 is 11.7735306337

### Scales and comparisons

How big is 1632?
• 1,632 seconds is equal to 27 minutes, 12 seconds.
• To count from 1 to 1,632 would take you about twenty-seven 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 1632 cubic inches would be around 1 feet tall.

### Recreational maths with 1632

• 1632 backwards is 2361
• 1632 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1632's digits is 12
• More coming soon!