# 1256

## 1,256 is an even composite number composed of two prime numbers multiplied together.

What does the number 1256 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

1256 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1256:

### 23 × 157

(2 × 2 × 2 × 157)

See below for interesting mathematical facts about the number 1256 from the Numbermatics database.

### Names of 1256

• Cardinal: 1256 can be written as One thousand, two hundred fifty-six.

### Scientific notation

• Scientific notation: 1.256 × 103

### Factors of 1256

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 159

### Divisors of 1256

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 2370
• Sum of proper divisors (its aliquot sum) s(n): 1114
• 1256 is a deficient number, because the sum of its proper divisors (1114) is less than itself. Its deficiency is 142

### Bases of 1256

• Binary: 100111010002
• Base-36: YW

### Squares and roots of 1256

• 1256 squared (12562) is 1577536
• 1256 cubed (12563) is 1981385216
• The square root of 1256 is 35.4400902933
• The cube root of 1256 is 10.7893814243

### Scales and comparisons

How big is 1256?
• 1,256 seconds is equal to 20 minutes, 56 seconds.
• To count from 1 to 1,256 would take you about twenty 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 1256 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1256

• 1256 backwards is 6521
• The number of decimal digits it has is: 4
• The sum of 1256's digits is 14
• More coming soon!