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The number 64880

64880 is a composite number with 20 divisors. Its prime factorisation is 242^{4} × 5 × 811. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 811, 1622, 3244, 4055, 6488, 8110 … 64880.

Number

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How to work it out

  1. 1

    64880 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

    64880 is composite. Its prime factorisation is

    64880=24×5×81164880 = 2^{4} \times 5 \times 811
  3. 3

    The divisors add up to 151032; without 64880 itself that is 86152, so 64880 is abundant (86152 is more than 64880). Euler's totient φ(64880) = 25920 numbers up to 64880 share no factor with it.

  4. 4

    The digits of 64880 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.

LaTeX source of the formulas on this page
\[ 64880 = 2^{4} \times 5 \times 811 \]

64880 at a glance

PropertyValue
Typecomposite
Number of divisors20
Sum of divisors151032
Euler totient φ(n)25920
Square4209414400
Cube273106806272000
Square root254.715528 (= 4√4055)
Digit sum / digital root26 / 8
Collatz steps to 1161
Scientific notation6.488 × 10410^{4}

64880 in other forms

FormValue
In wordssixty-four thousand eight hundred and eighty
Binary (base 2)1111110101110000
Octal (base 8)176560
Hexadecimal (base 16)FD70
Base 310021222222
As time64880 seconds = 18 h 1 min 20 s

Is 64880 divisible by 2 to 12?

DivisorAnswerRule
2Yes (64880 ÷ 2 = 32440)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (64880 ÷ 4 = 16220)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (64880 ÷ 5 = 12976)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 (64880 ÷ 8 = 8110)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (64880 ÷ 10 = 6488)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 64880 a prime number?

No. 64880 = 242^{4} × 5 × 811, so it is divisible by 2.

What are the factors of 64880?

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 811, 1622, 3244, 4055, 6488, 8110, 12976, 16220, 32440, 64880.

What is 64880 in binary?

1111110101110000 (hexadecimal FD70, octal 176560).

What is the square root of 64880?

About 254.7155, exactly 4√4055.

Is 64880 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 64880?

It is a composite number with 20 divisors.

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