# 123904

## 123,904 is an even composite number composed of two prime numbers multiplied together.

What does the number 123904 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 33 divisors.

123904 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty-three divisors.

## Prime factorization of 123904:

### 210 × 112

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11)

See below for interesting mathematical facts about the number 123904 from the Numbermatics database.

### Names of 123904

• Cardinal: 123904 can be written as One hundred twenty-three thousand, nine hundred four.

### Scientific notation

• Scientific notation: 1.23904 × 105

### Factors of 123904

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 13

### Divisors of 123904

• Number of divisors d(n): 33
• Complete list of divisors:
• Sum of all divisors σ(n): 272251
• Sum of proper divisors (its aliquot sum) s(n): 148347
• 123904 is an abundant number, because the sum of its proper divisors (148347) is greater than itself. Its abundance is 24443

### Bases of 123904

• Binary: 111100100000000002
• Base-36: 2NLS

### Squares and roots of 123904

• 123904 squared (1239042) is 15352201216
• 123904 cubed (1239043) is 1902199139467264
• 123904 is a perfect square number. Its square root is 352
• The cube root of 123904 is 49.8534374749

### Scales and comparisons

How big is 123904?
• 123,904 seconds is equal to 1 day, 10 hours, 25 minutes, 4 seconds.
• To count from 1 to 123,904 would take you about ten 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 123904 cubic inches would be around 4.2 feet tall.

### Recreational maths with 123904

• 123904 backwards is 409321
• The number of decimal digits it has is: 6
• The sum of 123904's digits is 19
• More coming soon!