12006

12,006 is an even composite number composed of four prime numbers multiplied together.

What does the number 12006 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

12006 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 12006:

2 × 3² × 23 × 29

(2 × 3 × 3 × 23 × 29)

See below for interesting mathematical facts about the number 12006 from the Numbermatics database.

Names of 12006

Cardinal: 12006 can be written as Twelve thousand and six.

Scientific notation

Scientific notation: 1.2006 × 10⁴

Factors of 12006

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 57

Divisors of 12006

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 4002 6003 12006
Sum of all divisors σ(n): 28080
Sum of proper divisors (its aliquot sum) s(n): 16074
12006 is an abundant number, because the sum of its proper divisors (16074) is greater than itself. Its abundance is 4068

Bases of 12006

Binary: 10111011100110₂
Hexadecimal: 0x2EE6
Base-36: 99I

Squares and roots of 12006

12006 squared (12006²) is 144144036
12006 cubed (12006³) is 1730593296216
The square root of 12006 is 109.5718942065
The cube root of 12006 is 22.8980999295

Scales and comparisons

How big is 12006?

12,006 seconds is equal to 3 hours, 20 minutes, 6 seconds.
To count from 1 to 12,006 would take you about three 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 12006 cubic inches would be around 1.9 feet tall.

Recreational maths with 12006

12006 backwards is 60021
12006 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 12006's digits is 9
More coming soon!

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The information we have on file for 12006 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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