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The number 74020

74020 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 5 × 3701. Divisors (12): 1, 2, 4, 5, 10, 20, 3701, 7402, 14804, 18505, 37010, 74020.

Number

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How to work it out

  1. 1

    74020 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

    74020 is composite. Its prime factorisation is

    74020=22×5×370174020 = 2^{2} \times 5 \times 3701
  3. 3

    The divisors add up to 155484; without 74020 itself that is 81464, so 74020 is abundant (81464 is more than 74020). Euler's totient φ(74020) = 29600 numbers up to 74020 share no factor with it.

  4. 4

    The digits of 74020 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74020 = 2^{2} \times 5 \times 3701 \]

74020 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors155484
Euler totient φ(n)29600
Square5478960400
Cube405552648808000
Square root272.066168 (= 2√18505)
Digit sum / digital root13 / 4
Collatz steps to 194
Scientific notation7.402 × 10410^{4}

74020 in other forms

FormValue
In wordsseventy-four thousand and twenty
Binary (base 2)10010000100100100
Octal (base 8)220444
Hexadecimal (base 16)12124
Base 310202112111
As time74020 seconds = 20 h 33 min 40 s

Is 74020 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74020 ÷ 2 = 37010)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 (74020 ÷ 4 = 18505)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (74020 ÷ 5 = 14804)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 2)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (74020 ÷ 10 = 7402)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 74020 a prime number?

No. 74020 = 222^{2} × 5 × 3701, so it is divisible by 2.

What are the factors of 74020?

1, 2, 4, 5, 10, 20, 3701, 7402, 14804, 18505, 37010, 74020.

What is 74020 in binary?

10010000100100100 (hexadecimal 12124, octal 220444).

What is the square root of 74020?

About 272.0662, exactly 2√18505.

Is 74020 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 74020?

It is a composite number with 12 divisors.

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    74020: is it prime? Factors, square root, binary, Roman numeral | WordGPT