53064

53,064 is an even composite number composed of four prime numbers multiplied together.

What does the number 53064 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

53064 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 53064:

2³ × 3² × 11 × 67

(2 × 2 × 2 × 3 × 3 × 11 × 67)

See below for interesting mathematical facts about the number 53064 from the Numbermatics database.

Names of 53064

Cardinal: 53064 can be written as Fifty-three thousand and sixty-four.

Scientific notation

Scientific notation: 5.3064 × 10⁴

Factors of 53064

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 83

Divisors of 53064

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 132 134 198 201 264 268 396 402 536 603 737 792 804 1206 1474 1608 2211 2412 2948 4422 4824 5896 6633 8844 13266 17688 26532 53064
Sum of all divisors σ(n): 159120
Sum of proper divisors (its aliquot sum) s(n): 106056
53064 is an abundant number, because the sum of its proper divisors (106056) is greater than itself. Its abundance is 52992

Bases of 53064

Binary: 1100111101001000₂
Hexadecimal: 0xCF48
Base-36: 14Y0

Squares and roots of 53064

53064 squared (53064²) is 2815788096
53064 cubed (53064³) is 149416979526144
The square root of 53064 is 230.3562458451
The cube root of 53064 is 37.5779711011

Scales and comparisons

How big is 53064?

53,064 seconds is equal to 14 hours, 44 minutes, 24 seconds.
To count from 1 to 53,064 would take you about fourteen 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 53064 cubic inches would be around 3.1 feet tall.

Recreational maths with 53064

53064 backwards is 46035
53064 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 53064's digits is 18
More coming soon!

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The information we have on file for 53064 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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