# 26400

## 26,400 is an even composite number composed of four prime numbers multiplied together.

What does the number 26400 look like?

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

26400 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 26400:

### 25 × 3 × 52 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 26400 from the Numbermatics database.

### Names of 26400

• Cardinal: 26400 can be written as Twenty-six thousand, four hundred.

### Scientific notation

• Scientific notation: 2.64 × 104

### Factors of 26400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 21

### Divisors of 26400

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 93744
• Sum of proper divisors (its aliquot sum) s(n): 67344
• 26400 is an abundant number, because the sum of its proper divisors (67344) is greater than itself. Its abundance is 40944

### Bases of 26400

• Binary: 1100111001000002
• Base-36: KDC

### Squares and roots of 26400

• 26400 squared (264002) is 696960000
• 26400 cubed (264003) is 18399744000000
• The square root of 26400 is 162.4807680927
• The cube root of 26400 is 29.7761110591

### Scales and comparisons

How big is 26400?
• 26,400 seconds is equal to 7 hours, 20 minutes.
• To count from 1 to 26,400 would take you about seven 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 26400 cubic inches would be around 2.5 feet tall.

### Recreational maths with 26400

• 26400 backwards is 00462
• 26400 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 26400's digits is 12
• More coming soon!