# 98400

## 98,400 is an even composite number composed of four prime numbers multiplied together.

What does the number 98400 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

98400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 98400:

### 25 × 3 × 52 × 41

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 41)

See below for interesting mathematical facts about the number 98400 from the Numbermatics database.

### Names of 98400

• Cardinal: 98400 can be written as Ninety-eight thousand, four hundred.

### Scientific notation

• Scientific notation: 9.84 × 104

### Factors of 98400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 51

### Divisors of 98400

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 328104
• Sum of proper divisors (its aliquot sum) s(n): 229704
• 98400 is an abundant number, because the sum of its proper divisors (229704) is greater than itself. Its abundance is 131304

### Bases of 98400

• Binary: 110000000011000002
• Base-36: 23XC

### Squares and roots of 98400

• 98400 squared (984002) is 9682560000
• 98400 cubed (984003) is 952763904000000
• The square root of 98400 is 313.6877428271
• The cube root of 98400 is 46.1670047951

### Scales and comparisons

How big is 98400?
• 98,400 seconds is equal to 1 day, 3 hours, 20 minutes.
• To count from 1 to 98,400 would take you about three hours.

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 98400 cubic inches would be around 3.8 feet tall.

### Recreational maths with 98400

• 98400 backwards is 00489
• The number of decimal digits it has is: 5
• The sum of 98400's digits is 21
• More coming soon!