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The number 60690

60690 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 17217^{2}. Divisors (48): 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51 … 60690.

Number

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How to work it out

  1. 1

    What is special about 60690: a Harshad number: divisible by its digit sum 21.

  2. 2

    60690 is composite. Its prime factorisation is

    60690=2×3×5×7×17260690 = 2 \times 3 \times 5 \times 7 \times 17^{2}
  3. 3

    The divisors add up to 176832; without 60690 itself that is 116142, so 60690 is abundant (116142 is more than 60690). Euler's totient φ(60690) = 13056 numbers up to 60690 share no factor with it.

  4. 4

    The digits of 60690 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60690 = 2 \times 3 \times 5 \times 7 \times 17^{2} \]

60690 at a glance

PropertyValue
Typecomposite
Number of divisors48
Sum of divisors176832
Euler totient φ(n)13056
Square3683276100
Cube223538026509000
Square root246.353405 (= 17√210)
Digit sum / digital root21 / 3
Collatz steps to 186
Scientific notation6.069 × 10410^{4}

60690 in other forms

FormValue
In wordssixty thousand six hundred and ninety
Binary (base 2)1110110100010010
Octal (base 8)166422
Hexadecimal (base 16)ED12
Base 310002020210
As time60690 seconds = 16 h 51 min 30 s

Is 60690 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60690 ÷ 2 = 30345)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (60690 ÷ 3 = 20230)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (60690 ÷ 5 = 12138)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (60690 ÷ 6 = 10115)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (60690 ÷ 7 = 8670)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (60690 ÷ 10 = 6069)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60690 a prime number?

No. 60690 = 2 × 3 × 5 × 7 × 17217^{2}, so it is divisible by 2.

What are the factors of 60690?

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 289, 357, 510, 578, 595, 714, 867, 1190, 1445, 1734, 1785, 2023, 2890, 3570, 4046, 4335, 6069, 8670, 10115, 12138, 20230, 30345, 60690.

What is 60690 in binary?

1110110100010010 (hexadecimal ED12, octal 166422).

What is the square root of 60690?

About 246.3534, exactly 17√210.

Is 60690 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 60690?

60690 is a Harshad number: divisible by its digit sum 21.

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