# 10709

## 10,709 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 10709 look like?

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

10709 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 10709:

### 10709

See below for interesting mathematical facts about the number 10709 from the Numbermatics database.

### Names of 10709

• Cardinal: 10709 can be written as Ten thousand, seven hundred nine.

### Scientific notation

• Scientific notation: 1.0709 × 104

### Factors of 10709

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 10709

### Divisors of 10709

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 10710
• Sum of proper divisors (its aliquot sum) s(n): 1
• 10709 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 10708

### Bases of 10709

• Binary: 101001110101012
• Base-36: 89H

### Squares and roots of 10709

• 10709 squared (107092) is 114682681
• 10709 cubed (107093) is 1228136830829
• The square root of 10709 is 103.4842983261
• The cube root of 10709 is 22.0419310497

### Scales and comparisons

How big is 10709?
• 10,709 seconds is equal to 2 hours, 58 minutes, 29 seconds.
• To count from 1 to 10,709 would take you about two 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 10709 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10709

• 10709 backwards is 90701
• 10709 is a twin prime! Its twin is 10711
• The number of decimal digits it has is: 5
• The sum of 10709's digits is 17
• More coming soon!