# 20353

## 20,353 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 20353 look like?

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

20353 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 20353:

### 20353

See below for interesting mathematical facts about the number 20353 from the Numbermatics database.

### Names of 20353

• Cardinal: 20353 can be written as Twenty thousand, three hundred fifty-three.

### Scientific notation

• Scientific notation: 2.0353 × 104

### Factors of 20353

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 20353

### Divisors of 20353

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 20354
• Sum of proper divisors (its aliquot sum) s(n): 1
• 20353 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 20352

### Bases of 20353

• Binary: 1001111100000012
• Base-36: FPD

### Squares and roots of 20353

• 20353 squared (203532) is 414244609
• 20353 cubed (203533) is 8431120526977
• The square root of 20353 is 142.6639407841
• The cube root of 20353 is 27.3029439505

### Scales and comparisons

How big is 20353?
• 20,353 seconds is equal to 5 hours, 39 minutes, 13 seconds.
• To count from 1 to 20,353 would take you about five 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 20353 cubic inches would be around 2.3 feet tall.

### Recreational maths with 20353

• 20353 backwards is 35302
• The number of decimal digits it has is: 5
• The sum of 20353's digits is 13
• More coming soon!