# 1250

## 1,250 is an even composite number composed of two prime numbers multiplied together.

What does the number 1250 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

1250 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 1250:

### 2 × 54

(2 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 1250 from the Numbermatics database.

### Names of 1250

• Cardinal: 1250 can be written as One thousand, two hundred fifty.

### Scientific notation

• Scientific notation: 1.25 × 103

### Factors of 1250

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 7

### Divisors of 1250

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 2343
• Sum of proper divisors (its aliquot sum) s(n): 1093
• 1250 is a deficient number, because the sum of its proper divisors (1093) is less than itself. Its deficiency is 157

### Bases of 1250

• Binary: 100111000102
• Base-36: YQ

### Squares and roots of 1250

• 1250 squared (12502) is 1562500
• 1250 cubed (12503) is 1953125000
• The square root of 1250 is 35.3553390593
• The cube root of 1250 is 10.7721734501

### Scales and comparisons

How big is 1250?
• 1,250 seconds is equal to 20 minutes, 50 seconds.
• To count from 1 to 1,250 would take you about twenty 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 1250 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1250

• 1250 backwards is 0521
• The number of decimal digits it has is: 4
• The sum of 1250's digits is 8
• More coming soon!