# 890400

## 890,400 is an even composite number composed of five prime numbers multiplied together.

What does the number 890400 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.

890400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.

## Prime factorization of 890400:

### 25 × 3 × 52 × 7 × 53

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 53)

See below for interesting mathematical facts about the number 890400 from the Numbermatics database.

### Names of 890400

• Cardinal: 890400 can be written as Eight hundred ninety thousand, four hundred.

### Scientific notation

• Scientific notation: 8.904 × 105

### Factors of 890400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 70

### Divisors of 890400

• Number of divisors d(n): 144
• Complete list of divisors:
• Sum of all divisors σ(n): 3374784
• Sum of proper divisors (its aliquot sum) s(n): 2484384
• 890400 is an abundant number, because the sum of its proper divisors (2484384) is greater than itself. Its abundance is 1593984

### Bases of 890400

• Binary: 110110010110001000002
• Base-36: J31C

### Squares and roots of 890400

• 890400 squared (8904002) is 792812160000
• 890400 cubed (8904003) is 705919947264000000
• The square root of 890400 is 943.6100889669
• The cube root of 890400 is 96.2044254919

### Scales and comparisons

How big is 890400?
• 890,400 seconds is equal to 1 week, 3 days, 7 hours, 20 minutes.
• To count from 1 to 890,400 would take you about three days!

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 890400 cubic inches would be around 8 feet tall.

### Recreational maths with 890400

• 890400 backwards is 004098
• 890400 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 890400's digits is 21
• More coming soon!