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The number 65480

65480 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 5 × 1637. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1637, 3274, 6548, 8185, 13096, 16370, 32740, 65480.

Number

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How to work it out

  1. 1

    65480 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

    65480 is composite. Its prime factorisation is

    65480=23×5×163765480 = 2^{3} \times 5 \times 1637
  3. 3

    The divisors add up to 147420; without 65480 itself that is 81940, so 65480 is abundant (81940 is more than 65480). Euler's totient φ(65480) = 26176 numbers up to 65480 share no factor with it.

  4. 4

    The digits of 65480 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.

LaTeX source of the formulas on this page
\[ 65480 = 2^{3} \times 5 \times 1637 \]

65480 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors147420
Euler totient φ(n)26176
Square4287630400
Cube280754038592000
Square root255.890602 (= 2√16370)
Digit sum / digital root23 / 5
Collatz steps to 1130
Scientific notation6.548 × 10410^{4}

65480 in other forms

FormValue
In wordssixty-five thousand four hundred and eighty
Binary (base 2)1111111111001000
Octal (base 8)177710
Hexadecimal (base 16)FFC8
Base 310022211012
As time65480 seconds = 18 h 11 min 20 s

Is 65480 divisible by 2 to 12?

DivisorAnswerRule
2Yes (65480 ÷ 2 = 32740)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 (65480 ÷ 4 = 16370)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (65480 ÷ 5 = 13096)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 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.
8Yes (65480 ÷ 8 = 8185)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (65480 ÷ 10 = 6548)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 65480 a prime number?

No. 65480 = 232^{3} × 5 × 1637, so it is divisible by 2.

What are the factors of 65480?

1, 2, 4, 5, 8, 10, 20, 40, 1637, 3274, 6548, 8185, 13096, 16370, 32740, 65480.

What is 65480 in binary?

1111111111001000 (hexadecimal FFC8, octal 177710).

What is the square root of 65480?

About 255.8906, exactly 2√16370.

Is 65480 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 65480?

It is a composite number with 16 divisors.

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