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The number 64420

64420 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 5 × 3221. Divisors (12): 1, 2, 4, 5, 10, 20, 3221, 6442, 12884, 16105, 32210, 64420.

Number

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How to work it out

  1. 1

    64420 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

    64420 is composite. Its prime factorisation is

    64420=22×5×322164420 = 2^{2} \times 5 \times 3221
  3. 3

    The divisors add up to 135324; without 64420 itself that is 70904, so 64420 is abundant (70904 is more than 64420). Euler's totient φ(64420) = 25760 numbers up to 64420 share no factor with it.

  4. 4

    The digits of 64420 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page
\[ 64420 = 2^{2} \times 5 \times 3221 \]

64420 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors135324
Euler totient φ(n)25760
Square4149936400
Cube267338902888000
Square root253.810953 (= 2√16105)
Digit sum / digital root16 / 7
Collatz steps to 147
Scientific notation6.442 × 10410^{4}

64420 in other forms

FormValue
In wordssixty-four thousand four hundred and twenty
Binary (base 2)1111101110100100
Octal (base 8)175644
Hexadecimal (base 16)FBA4
Base 310021100221
As time64420 seconds = 17 h 53 min 40 s

Is 64420 divisible by 2 to 12?

DivisorAnswerRule
2Yes (64420 ÷ 2 = 32210)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 (64420 ÷ 4 = 16105)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (64420 ÷ 5 = 12884)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 6)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (64420 ÷ 10 = 6442)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 64420 a prime number?

No. 64420 = 222^{2} × 5 × 3221, so it is divisible by 2.

What are the factors of 64420?

1, 2, 4, 5, 10, 20, 3221, 6442, 12884, 16105, 32210, 64420.

What is 64420 in binary?

1111101110100100 (hexadecimal FBA4, octal 175644).

What is the square root of 64420?

About 253.8110, exactly 2√16105.

Is 64420 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 64420?

It is a composite number with 12 divisors.

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