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The number 60912

60912 is a composite number with 50 divisors. Its prime factorisation is 242^{4} × 343^{4} × 47. Divisors (50): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 47, 48, 54 … 60912.

Number

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How to work it out

  1. 1

    What is special about 60912: a Harshad number: divisible by its digit sum 18.

  2. 2

    60912 is composite. Its prime factorisation is

    60912=24×34×4760912 = 2^{4} \times 3^{4} \times 47
  3. 3

    The divisors add up to 180048; without 60912 itself that is 119136, so 60912 is abundant (119136 is more than 60912). Euler's totient φ(60912) = 19872 numbers up to 60912 share no factor with it.

  4. 4

    The digits of 60912 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 135 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60912 = 2^{4} \times 3^{4} \times 47 \]

60912 at a glance

PropertyValue
Typecomposite
Number of divisors50
Sum of divisors180048
Euler totient φ(n)19872
Square3710271744
Cube226000072470528
Square root246.803566 (= 36√47)
Digit sum / digital root18 / 9
Collatz steps to 1135
Scientific notation6.0912 × 10410^{4}

60912 in other forms

FormValue
In wordssixty thousand nine hundred and twelve
Binary (base 2)1110110111110000
Octal (base 8)166760
Hexadecimal (base 16)EDF0
Base 310002120000
As time60912 seconds = 16 h 55 min 12 s

Is 60912 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60912 ÷ 2 = 30456)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (60912 ÷ 3 = 20304)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (60912 ÷ 4 = 15228)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (60912 ÷ 6 = 10152)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 (60912 ÷ 8 = 7614)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (60912 ÷ 9 = 6768)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12Yes (60912 ÷ 12 = 5076)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60912 a prime number?

No. 60912 = 242^{4} × 343^{4} × 47, so it is divisible by 2.

What are the factors of 60912?

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 47, 48, 54, 72, 81, 94, 108, 141, 144, 162, 188, 216, 282, 324, 376, 423, 432, 564, 648, 752, 846, 1128, 1269, 1296, 1692, 2256, 2538, 3384, 3807, 5076, 6768, 7614, 10152, 15228, 20304, 30456, 60912.

What is 60912 in binary?

1110110111110000 (hexadecimal EDF0, octal 166760).

What is the square root of 60912?

About 246.8036, exactly 36√47.

Is 60912 divisible by 3?

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

What is special about the number 60912?

60912 is a Harshad number: divisible by its digit sum 18.

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