# 1056

## 1,056 is an even composite number composed of three prime numbers multiplied together.

What does the number 1056 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1056 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1056:

### 25 × 3 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 11)

See below for interesting mathematical facts about the number 1056 from the Numbermatics database.

### Names of 1056

• Cardinal: 1056 can be written as One thousand and fifty-six.

### Scientific notation

• Scientific notation: 1.056 × 103

### Factors of 1056

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 16

### Divisors of 1056

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 3024
• Sum of proper divisors (its aliquot sum) s(n): 1968
• 1056 is an abundant number, because the sum of its proper divisors (1968) is greater than itself. Its abundance is 912

### Bases of 1056

• Binary: 100001000002
• Base-36: TC

### Squares and roots of 1056

• 1056 squared (10562) is 1115136
• 1056 cubed (10563) is 1177583616
• The square root of 1056 is 32.4961536185
• The cube root of 1056 is 10.1832867393

### Scales and comparisons

How big is 1056?
• 1,056 seconds is equal to 17 minutes, 36 seconds.
• To count from 1 to 1,056 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 1056 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1056

• 1056 backwards is 6501
• 1056 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1056's digits is 12
• More coming soon!