# 15456

## 15,456 is an even composite number composed of four prime numbers multiplied together.

What does the number 15456 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

15456 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 15456:

### 25 × 3 × 7 × 23

(2 × 2 × 2 × 2 × 2 × 3 × 7 × 23)

See below for interesting mathematical facts about the number 15456 from the Numbermatics database.

### Names of 15456

• Cardinal: 15456 can be written as Fifteen thousand, four hundred fifty-six.

### Scientific notation

• Scientific notation: 1.5456 × 104

### Factors of 15456

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 35

### Divisors of 15456

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 48384
• Sum of proper divisors (its aliquot sum) s(n): 32928
• 15456 is an abundant number, because the sum of its proper divisors (32928) is greater than itself. Its abundance is 17472

### Bases of 15456

• Binary: 111100011000002
• Base-36: BXC

### Squares and roots of 15456

• 15456 squared (154562) is 238887936
• 15456 cubed (154563) is 3692251938816
• The square root of 15456 is 124.3221621433
• The cube root of 15456 is 24.9095397391

### Scales and comparisons

How big is 15456?
• 15,456 seconds is equal to 4 hours, 17 minutes, 36 seconds.
• To count from 1 to 15,456 would take you about four 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 15456 cubic inches would be around 2.1 feet tall.

### Recreational maths with 15456

• 15456 backwards is 65451
• 15456 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 15456's digits is 21
• More coming soon!