# 6826400

## 6,826,400 is an even composite number composed of five prime numbers multiplied together.

What does the number 6826400 look like?

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

6826400 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 6826400:

### 25 × 52 × 7 × 23 × 53

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 23 × 53)

See below for interesting mathematical facts about the number 6826400 from the Numbermatics database.

### Names of 6826400

• Cardinal: 6826400 can be written as Six million, eight hundred twenty-six thousand, four hundred.

### Scientific notation

• Scientific notation: 6.8264 × 106

### Factors of 6826400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 90

### Divisors of 6826400

• Number of divisors d(n): 144
• Complete list of divisors:
• Sum of all divisors σ(n): 20248704
• Sum of proper divisors (its aliquot sum) s(n): 13422304
• 6826400 is an abundant number, because the sum of its proper divisors (13422304) is greater than itself. Its abundance is 6595904

### Bases of 6826400

• Binary: 110100000101001101000002
• Base-36: 42BA8

### Squares and roots of 6826400

• 6826400 squared (68264002) is 46599736960000
• 6826400 cubed (68264003) is 318108444383744000000
• The square root of 6826400 is 2612.7380274341
• The cube root of 6826400 is 189.6985061425

### Scales and comparisons

How big is 6826400?
• 6,826,400 seconds is equal to 11 weeks, 2 days, 13 minutes, 20 seconds.
• To count from 1 to 6,826,400 would take you about sixteen weeks!

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 6826400 cubic inches would be around 15.8 feet tall.

### Recreational maths with 6826400

• 6826400 backwards is 0046286
• The number of decimal digits it has is: 7
• The sum of 6826400's digits is 26
• More coming soon!