# 1380

## 1,380 is an even composite number composed of four prime numbers multiplied together.

What does the number 1380 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

1380 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1380:

### 22 × 3 × 5 × 23

(2 × 2 × 3 × 5 × 23)

See below for interesting mathematical facts about the number 1380 from the Numbermatics database.

### Names of 1380

• Cardinal: 1380 can be written as One thousand, three hundred eighty.

### Scientific notation

• Scientific notation: 1.38 × 103

### Factors of 1380

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 33

### Divisors of 1380

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 4032
• Sum of proper divisors (its aliquot sum) s(n): 2652
• 1380 is an abundant number, because the sum of its proper divisors (2652) is greater than itself. Its abundance is 1272

### Bases of 1380

• Binary: 101011001002
• Base-36: 12C

### Squares and roots of 1380

• 1380 squared (13802) is 1904400
• 1380 cubed (13803) is 2628072000
• The square root of 1380 is 37.1483512421
• The cube root of 1380 is 11.1333628155

### Scales and comparisons

How big is 1380?
• 1,380 seconds is equal to 23 minutes.
• To count from 1 to 1,380 would take you about twenty-three 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 1380 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1380

• 1380 backwards is 0831
• 1380 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1380's digits is 12
• More coming soon!