126432

126,432 is an even composite number composed of three prime numbers multiplied together.

What does the number 126432 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

126432 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 126432:

2⁵ × 3² × 439

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 439)

See below for interesting mathematical facts about the number 126432 from the Numbermatics database.

Names of 126432

Cardinal: 126432 can be written as One hundred twenty-six thousand, four hundred thirty-two.

Scientific notation

Scientific notation: 1.26432 × 10⁵

Factors of 126432

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 444

Divisors of 126432

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 439 878 1317 1756 2634 3512 3951 5268 7024 7902 10536 14048 15804 21072 31608 42144 63216 126432
Sum of all divisors σ(n): 360360
Sum of proper divisors (its aliquot sum) s(n): 233928
126432 is an abundant number, because the sum of its proper divisors (233928) is greater than itself. Its abundance is 107496

Bases of 126432

Binary: 11110110111100000₂
Hexadecimal: 0x1EDE0
Base-36: 2PK0

Squares and roots of 126432

126432 squared (126432²) is 15985050624
126432 cubed (126432³) is 2021021920493568
The square root of 126432 is 355.5727773605
The cube root of 126432 is 50.1902088279

Scales and comparisons

How big is 126432?

126,432 seconds is equal to 1 day, 11 hours, 7 minutes, 12 seconds.
To count from 1 to 126,432 would take you about eleven 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 126432 cubic inches would be around 4.2 feet tall.

Recreational maths with 126432

126432 backwards is 234621
126432 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 126432's digits is 18
More coming soon!

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The information we have on file for 126432 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 126432, math, Factors of 126432, curriculum, school, college, exams, university, Prime factorization of 126432, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-six thousand, four hundred thirty-two.