# 26681

## 26,681 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 26681 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

26681 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 26681:

### 26681

See below for interesting mathematical facts about the number 26681 from the Numbermatics database.

### Names of 26681

• Cardinal: 26681 can be written as Twenty-six thousand, six hundred eighty-one.

### Scientific notation

• Scientific notation: 2.6681 × 104

### Factors of 26681

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 26681

### Divisors of 26681

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 26682
• Sum of proper divisors (its aliquot sum) s(n): 1
• 26681 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 26680

### Bases of 26681

• Binary: 1101000001110012
• Base-36: KL5

### Squares and roots of 26681

• 26681 squared (266812) is 711875761
• 26681 cubed (266813) is 18993557179241
• The square root of 26681 is 163.3431969811
• The cube root of 26681 is 29.8813834739

### Scales and comparisons

How big is 26681?
• 26,681 seconds is equal to 7 hours, 24 minutes, 41 seconds.
• To count from 1 to 26,681 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 26681 cubic inches would be around 2.5 feet tall.

### Recreational maths with 26681

• 26681 backwards is 18662
• 26681 is a twin prime! Its twin is 26683
• The number of decimal digits it has is: 5
• The sum of 26681's digits is 23
• More coming soon!