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The number 80560

80560 is a composite number with 40 divisors. Its prime factorisation is 242^{4} × 5 × 19 × 53. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 53, 76, 80, 95, 106 … 80560.

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How to work it out

  1. 1

    What is special about 80560: a Harshad number: divisible by its digit sum 19.

  2. 2

    80560 is composite. Its prime factorisation is

    80560=24×5×19×5380560 = 2^{4} \times 5 \times 19 \times 53
  3. 3

    The divisors add up to 200880; without 80560 itself that is 120320, so 80560 is abundant (120320 is more than 80560). Euler's totient φ(80560) = 29952 numbers up to 80560 share no factor with it.

  4. 4

    The digits of 80560 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 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80560 = 2^{4} \times 5 \times 19 \times 53 \]

80560 at a glance

PropertyValue
Typecomposite
Number of divisors40
Sum of divisors200880
Euler totient φ(n)29952
Square6489913600
Cube522827439616000
Square root283.830936 (= 4√5035)
Digit sum / digital root19 / 1
Collatz steps to 1138
Scientific notation8.056 × 10410^{4}

80560 in other forms

FormValue
In wordseighty thousand five hundred and sixty
Binary (base 2)10011101010110000
Octal (base 8)235260
Hexadecimal (base 16)13AB0
Base 311002111201
As time80560 seconds = 22 h 22 min 40 s

Is 80560 divisible by 2 to 12?

DivisorAnswerRule
2Yes (80560 ÷ 2 = 40280)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 (80560 ÷ 4 = 20140)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (80560 ÷ 5 = 16112)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 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 (80560 ÷ 8 = 10070)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 (80560 ÷ 10 = 8056)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 80560 a prime number?

No. 80560 = 242^{4} × 5 × 19 × 53, so it is divisible by 2.

What are the factors of 80560?

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 53, 76, 80, 95, 106, 152, 190, 212, 265, 304, 380, 424, 530, 760, 848, 1007, 1060, 1520, 2014, 2120, 4028, 4240, 5035, 8056, 10070, 16112, 20140, 40280, 80560.

What is 80560 in binary?

10011101010110000 (hexadecimal 13AB0, octal 235260).

What is the square root of 80560?

About 283.8309, exactly 4√5035.

Is 80560 divisible by 3?

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

What is special about the number 80560?

80560 is a Harshad number: divisible by its digit sum 19.

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