# 1540

## 1,540 is an even composite number composed of four prime numbers multiplied together.

What does the number 1540 look like?

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

1540 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 1540:

### 22 × 5 × 7 × 11

(2 × 2 × 5 × 7 × 11)

See below for interesting mathematical facts about the number 1540 from the Numbermatics database.

### Names of 1540

• Cardinal: 1540 can be written as One thousand, five hundred forty.

### Scientific notation

• Scientific notation: 1.54 × 103

### Factors of 1540

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 25

### Divisors of 1540

• 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): 2492
• 1540 is an abundant number, because the sum of its proper divisors (2492) is greater than itself. Its abundance is 952

### Bases of 1540

• Binary: 110000001002
• Base-36: 16S

### Squares and roots of 1540

• 1540 squared (15402) is 2371600
• 1540 cubed (15403) is 3652264000
• The square root of 1540 is 39.2428337407
• The cube root of 1540 is 11.5480035029

### Scales and comparisons

How big is 1540?
• 1,540 seconds is equal to 25 minutes, 40 seconds.
• To count from 1 to 1,540 would take you about twenty-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 1540 cubic inches would be around 1 feet tall.

### Recreational maths with 1540

• 1540 backwards is 0451
• 1540 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1540's digits is 10
• More coming soon!