# 1500

## 1,500 is an even composite number composed of three prime numbers multiplied together.

What does the number 1500 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1500 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1500:

### 22 × 3 × 53

(2 × 2 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 1500 from the Numbermatics database.

### Names of 1500

• Cardinal: 1500 can be written as One thousand, five hundred.

### Scientific notation

• Scientific notation: 1.5 × 103

### Factors of 1500

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 10

### Divisors of 1500

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 4368
• Sum of proper divisors (its aliquot sum) s(n): 2868
• 1500 is an abundant number, because the sum of its proper divisors (2868) is greater than itself. Its abundance is 1368

### Bases of 1500

• Binary: 101110111002
• Base-36: 15O

### Squares and roots of 1500

• 1500 squared (15002) is 2250000
• 1500 cubed (15003) is 3375000000
• The square root of 1500 is 38.7298334621
• The cube root of 1500 is 11.4471424257

### Scales and comparisons

How big is 1500?
• 1,500 seconds is equal to 25 minutes.
• To count from 1 to 1,500 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 1500 cubic inches would be around 1 feet tall.

### Recreational maths with 1500

• 1500 backwards is 0051
• 1500 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1500's digits is 6
• More coming soon!