# 90200

## 90,200 is an even composite number composed of four prime numbers multiplied together.

What does the number 90200 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

90200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 90200:

### 23 × 52 × 11 × 41

(2 × 2 × 2 × 5 × 5 × 11 × 41)

See below for interesting mathematical facts about the number 90200 from the Numbermatics database.

### Names of 90200

• Cardinal: 90200 can be written as Ninety thousand, two hundred.

### Scientific notation

• Scientific notation: 9.02 × 104

### Factors of 90200

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 59

### Divisors of 90200

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 234360
• Sum of proper divisors (its aliquot sum) s(n): 144160
• 90200 is an abundant number, because the sum of its proper divisors (144160) is greater than itself. Its abundance is 53960

### Bases of 90200

• Binary: 101100000010110002
• Base-36: 1XLK

### Squares and roots of 90200

• 90200 squared (902002) is 8136040000
• 90200 cubed (902003) is 733870808000000
• The square root of 90200 is 300.3331483537
• The cube root of 90200 is 44.8472184973

### Scales and comparisons

How big is 90200?
• 90,200 seconds is equal to 3 minutes, 20 seconds.
• To count from 1 to 90,200 would take you about 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 90200 cubic inches would be around 3.7 feet tall.

### Recreational maths with 90200

• 90200 backwards is 00209
• 90200 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 90200's digits is 11
• More coming soon!