# 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!

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"Number 1680 - Facts about the integer". Numbermatics.com. 2021. Web. 9 December 2021.

APA style:
Numbermatics. (2021). Number 1680 - Facts about the integer. Retrieved 9 December 2021, from https://numbermatics.com/n/1680/

Chicago style:
Numbermatics. 2021. "Number 1680 - Facts about the integer". https://numbermatics.com/n/1680/

The information we have on file for 1680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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