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The number 80136

80136 is a composite number with 64 divisors. Its prime factorisation is 232^{3} × 333^{3} × 7 × 53. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36 … 80136.

Number

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How to work it out

  1. 1

    What is special about 80136: a Harshad number: divisible by its digit sum 18.

  2. 2

    80136 is composite. Its prime factorisation is

    80136=23×33×7×5380136 = 2^{3} \times 3^{3} \times 7 \times 53
  3. 3

    The divisors add up to 259200; without 80136 itself that is 179064, so 80136 is abundant (179064 is more than 80136). Euler's totient φ(80136) = 22464 numbers up to 80136 share no factor with it.

  4. 4

    The digits of 80136 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80136 = 2^{3} \times 3^{3} \times 7 \times 53 \]

80136 at a glance

PropertyValue
Typecomposite
Number of divisors64
Sum of divisors259200
Euler totient φ(n)22464
Square6421778496
Cube514615641555456
Square root283.083027 (= 6√2226)
Digit sum / digital root18 / 9
Collatz steps to 194
Scientific notation8.0136 × 10410^{4}

80136 in other forms

FormValue
In wordseighty thousand one hundred and thirty-six
Binary (base 2)10011100100001000
Octal (base 8)234410
Hexadecimal (base 16)13908
Base 311001221000
As time80136 seconds = 22 h 15 min 36 s

Is 80136 divisible by 2 to 12?

DivisorAnswerRule
2Yes (80136 ÷ 2 = 40068)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (80136 ÷ 3 = 26712)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (80136 ÷ 4 = 20034)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (80136 ÷ 6 = 13356)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (80136 ÷ 7 = 11448)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 (80136 ÷ 8 = 10017)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (80136 ÷ 9 = 8904)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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.
12Yes (80136 ÷ 12 = 6678)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80136 a prime number?

No. 80136 = 232^{3} × 333^{3} × 7 × 53, so it is divisible by 2.

What are the factors of 80136?

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 53, 54, 56, 63, 72, 84, 106, 108, 126, 159, 168, 189, 212, 216, 252, 318, 371, 378, 424, 477, 504, 636, 742, 756, 954, 1113, 1272, 1431, 1484, 1512, 1908, 2226, 2862, 2968, 3339, 3816, 4452, 5724, 6678, 8904, 10017, 11448, 13356, 20034, 26712, 40068, 80136.

What is 80136 in binary?

10011100100001000 (hexadecimal 13908, octal 234410).

What is the square root of 80136?

About 283.0830, exactly 6√2226.

Is 80136 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 80136?

80136 is a Harshad number: divisible by its digit sum 18.

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