# 1026

## 1,026 is an even composite number composed of three prime numbers multiplied together.

What does the number 1026 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

1026 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 1026:

### 2 × 33 × 19

(2 × 3 × 3 × 3 × 19)

See below for interesting mathematical facts about the number 1026 from the Numbermatics database.

### Names of 1026

• Cardinal: 1026 can be written as One thousand and twenty-six.

### Scientific notation

• Scientific notation: 1.026 × 103

### Factors of 1026

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 24

### Divisors of 1026

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 2400
• Sum of proper divisors (its aliquot sum) s(n): 1374
• 1026 is an abundant number, because the sum of its proper divisors (1374) is greater than itself. Its abundance is 348

### Bases of 1026

• Binary: 100000000102
• Base-36: SI

### Squares and roots of 1026

• 1026 squared (10262) is 1052676
• 1026 cubed (10263) is 1080045576
• The square root of 1026 is 32.0312347563
• The cube root of 1026 is 10.0859262203

### Scales and comparisons

How big is 1026?
• 1,026 seconds is equal to 17 minutes, 6 seconds.
• To count from 1 to 1,026 would take you about seventeen minutes.

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 1026 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1026

• 1026 backwards is 6201
• 1026 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1026's digits is 9
• More coming soon!