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The number 67240

67240 is a composite number with 24 divisors. Its prime factorisation is 232^{3} × 5 × 41241^{2}. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640 … 67240.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    67240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    67240 is composite. Its prime factorisation is

    67240=23×5×41267240 = 2^{3} \times 5 \times 41^{2}
  3. 3

    The divisors add up to 155070; without 67240 itself that is 87830, so 67240 is abundant (87830 is more than 67240). Euler's totient φ(67240) = 26240 numbers up to 67240 share no factor with it.

  4. 4

    The digits of 67240 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67240 = 2^{3} \times 5 \times 41^{2} \]

67240 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors155070
Euler totient φ(n)26240
Square4521217600
Cube304006671424000
Square root259.306768 (= 82√10)
Digit sum / digital root19 / 1
Collatz steps to 137
Scientific notation6.724 × 10410^{4}

67240 in other forms

FormValue
In wordssixty-seven thousand two hundred and forty
Binary (base 2)10000011010101000
Octal (base 8)203250
Hexadecimal (base 16)106A8
Base 310102020101
As time67240 seconds = 18 h 40 min 40 s

Is 67240 divisible by 2 to 12?

DivisorAnswerRule
2Yes (67240 ÷ 2 = 33620)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (67240 ÷ 4 = 16810)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (67240 ÷ 5 = 13448)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (67240 ÷ 8 = 8405)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (67240 ÷ 10 = 6724)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67240 a prime number?

No. 67240 = 232^{3} × 5 × 41241^{2}, so it is divisible by 2.

What are the factors of 67240?

1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640, 1681, 3362, 6724, 8405, 13448, 16810, 33620, 67240.

What is 67240 in binary?

10000011010101000 (hexadecimal 106A8, octal 203250).

What is the square root of 67240?

About 259.3068, exactly 82√10.

Is 67240 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 67240?

It is a composite number with 24 divisors.

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    67240: is it prime? Factors, square root, binary, Roman numeral | WordGPT