166400

166,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 166400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

166400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 166400:

2⁹ × 5² × 13

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13)

See below for interesting mathematical facts about the number 166400 from the Numbermatics database.

Names of 166400

Cardinal: 166400 can be written as One hundred sixty-six thousand, four hundred.

Scientific notation

Scientific notation: 1.664 × 10⁵

Factors of 166400

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 12
Sum of prime factors: 20

Divisors of 166400

Number of divisors d(n): 60
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 512 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2560 2600 3200 3328 4160 5200 6400 6656 8320 10400 12800 16640 20800 33280 41600 83200 166400
Sum of all divisors σ(n): 443982
Sum of proper divisors (its aliquot sum) s(n): 277582
166400 is an abundant number, because the sum of its proper divisors (277582) is greater than itself. Its abundance is 111182

Bases of 166400

Binary: 101000101000000000₂
Hexadecimal: 0x28A00
Base-36: 3KE8

Squares and roots of 166400

166400 squared (166400²) is 27688960000
166400 cubed (166400³) is 4607442944000000
The square root of 166400 is 407.9215610875
The cube root of 166400 is 55.0027546831

Scales and comparisons

How big is 166400?

166,400 seconds is equal to 1 day, 22 hours, 13 minutes, 20 seconds.
To count from 1 to 166,400 would take you about twenty-two 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 166400 cubic inches would be around 4.6 feet tall.

Recreational maths with 166400

166400 backwards is 004661
The number of decimal digits it has is: 6
The sum of 166400's digits is 17
More coming soon!

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The information we have on file for 166400 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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