66400

66,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 66400 look like?

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

66400 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 66400:

2⁵ × 5² × 83

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 83)

See below for interesting mathematical facts about the number 66400 from the Numbermatics database.

Names of 66400

Cardinal: 66400 can be written as Sixty-six thousand, four hundred.

Scientific notation

Scientific notation: 6.64 × 10⁴

Factors of 66400

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 90

Divisors of 66400

Number of divisors d(n): 36
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 400 415 664 800 830 1328 1660 2075 2656 3320 4150 6640 8300 13280 16600 33200 66400
Sum of all divisors σ(n): 164052
Sum of proper divisors (its aliquot sum) s(n): 97652
66400 is an abundant number, because the sum of its proper divisors (97652) is greater than itself. Its abundance is 31252

Bases of 66400

Binary: 10000001101100000₂
Hexadecimal: 0x10360
Base-36: 1F8G

Squares and roots of 66400

66400 squared (66400²) is 4408960000
66400 cubed (66400³) is 292754944000000
The square root of 66400 is 257.6819745345
The cube root of 66400 is 40.4938770401

Scales and comparisons

How big is 66400?

66,400 seconds is equal to 18 hours, 26 minutes, 40 seconds.
To count from 1 to 66,400 would take you about eighteen 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 66400 cubic inches would be around 3.4 feet tall.

Recreational maths with 66400

66400 backwards is 00466
66400 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 66400's digits is 16
More coming soon!

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The information we have on file for 66400 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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