# 2140

## 2,140 is an even composite number composed of three prime numbers multiplied together.

What does the number 2140 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

2140 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 2140:

### 22 × 5 × 107

(2 × 2 × 5 × 107)

See below for interesting mathematical facts about the number 2140 from the Numbermatics database.

### Names of 2140

• Cardinal: 2140 can be written as Two thousand, one hundred forty.

### Scientific notation

• Scientific notation: 2.14 × 103

### Factors of 2140

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 114

### Divisors of 2140

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4536
• Sum of proper divisors (its aliquot sum) s(n): 2396
• 2140 is an abundant number, because the sum of its proper divisors (2396) is greater than itself. Its abundance is 256

### Bases of 2140

• Binary: 1000010111002
• Base-36: 1NG

### Squares and roots of 2140

• 2140 squared (21402) is 4579600
• 2140 cubed (21403) is 9800344000
• The square root of 2140 is 46.2601340247
• The cube root of 2140 is 12.8865874255

### Scales and comparisons

How big is 2140?
• 2,140 seconds is equal to 35 minutes, 40 seconds.
• To count from 1 to 2,140 would take you about thirty-five 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 2140 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2140

• 2140 backwards is 0412
• The number of decimal digits it has is: 4
• The sum of 2140's digits is 7
• More coming soon!