# 1680

## 1,680 is an even composite number composed of four prime numbers multiplied together.

What does the number 1680 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

1680 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 1680:

### 24 × 3 × 5 × 7

(2 × 2 × 2 × 2 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 1680 from the Numbermatics database.

### Names of 1680

• Cardinal: 1680 can be written as One thousand, six hundred eighty.

### Scientific notation

• Scientific notation: 1.68 × 103

### Factors of 1680

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 17

### Divisors of 1680

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 5952
• Sum of proper divisors (its aliquot sum) s(n): 4272
• 1680 is an abundant number, because the sum of its proper divisors (4272) is greater than itself. Its abundance is 2592

### Bases of 1680

• Binary: 110100100002
• Base-36: 1AO

### Squares and roots of 1680

• 1680 squared (16802) is 2822400
• 1680 cubed (16803) is 4741632000
• The square root of 1680 is 40.9878030639
• The cube root of 1680 is 11.8878439055

### Scales and comparisons

How big is 1680?
• 1,680 seconds is equal to 28 minutes.
• To count from 1 to 1,680 would take you about twenty-eight 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 1680 cubic inches would be around 1 feet tall.

### Recreational maths with 1680

• 1680 backwards is 0861
• 1680 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1680's digits is 15
• More coming soon!