# 1456

## 1,456 is an even composite number composed of three prime numbers multiplied together.

What does the number 1456 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

1456 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 1456:

### 24 × 7 × 13

(2 × 2 × 2 × 2 × 7 × 13)

See below for interesting mathematical facts about the number 1456 from the Numbermatics database.

### Names of 1456

• Cardinal: 1456 can be written as One thousand, four hundred fifty-six.

### Scientific notation

• Scientific notation: 1.456 × 103

### Factors of 1456

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 22

### Divisors of 1456

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 3472
• Sum of proper divisors (its aliquot sum) s(n): 2016
• 1456 is an abundant number, because the sum of its proper divisors (2016) is greater than itself. Its abundance is 560

### Bases of 1456

• Binary: 101101100002
• Base-36: 14G

### Squares and roots of 1456

• 1456 squared (14562) is 2119936
• 1456 cubed (14563) is 3086626816
• The square root of 1456 is 38.1575680567
• The cube root of 1456 is 11.3341022161

### Scales and comparisons

How big is 1456?
• 1,456 seconds is equal to 24 minutes, 16 seconds.
• To count from 1 to 1,456 would take you about twenty-four 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 1456 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1456

• 1456 backwards is 6541
• 1456 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1456's digits is 16
• More coming soon!