106381728

106,381,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 106381728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

106381728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 106381728:

2⁵ × 3³ × 123127

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 123127)

See below for interesting mathematical facts about the number 106381728 from the Numbermatics database.

Names of 106381728

Cardinal: 106381728 can be written as One hundred six million, three hundred eighty-one thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 1.06381728 × 10⁸

Factors of 106381728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 123132

Divisors of 106381728

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 123127 246254 369381 492508 738762 985016 1108143 1477524 1970032 2216286 2955048 3324429 3940064 4432572 5910096 6648858 8865144 11820192 13297716 17730288 26595432 35460576 53190864 106381728
Sum of all divisors σ(n): 310282560
Sum of proper divisors (its aliquot sum) s(n): 203900832
106381728 is an abundant number, because the sum of its proper divisors (203900832) is greater than itself. Its abundance is 97519104

Bases of 106381728

Binary: 110010101110100000110100000₂
Hexadecimal: 0x65741A0
Base-36: 1RC4O0

Squares and roots of 106381728

106381728 squared (106381728²) is 11317072052265984
106381728 cubed (106381728³) is 1203929680820561693540352
The square root of 106381728 is 10314.1518313431
The cube root of 106381728 is 473.8297738369

Scales and comparisons

How big is 106381728?

106,381,728 seconds is equal to 3 years, 19 weeks, 6 days, 6 hours, 28 minutes, 48 seconds.
To count from 1 to 106,381,728 would take you about five years!

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 106381728 cubic inches would be around 39.5 feet tall.

Recreational maths with 106381728

106381728 backwards is 827183601
106381728 is a Harshad number.
The number of decimal digits it has is: 9
The sum of 106381728's digits is 36
More coming soon!

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The information we have on file for 106381728 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!

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