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The number 56070

56070 is a composite number with 48 divisors. Its prime factorisation is 2 × 323^{2} × 5 × 7 × 89. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45 … 56070.

Number

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How to work it out

  1. 1

    What is special about 56070: a Harshad number: divisible by its digit sum 18.

  2. 2

    56070 is composite. Its prime factorisation is

    56070=2×32×5×7×8956070 = 2 \times 3^{2} \times 5 \times 7 \times 89
  3. 3

    The divisors add up to 168480; without 56070 itself that is 112410, so 56070 is abundant (112410 is more than 56070). Euler's totient φ(56070) = 12672 numbers up to 56070 share no factor with it.

  4. 4

    The digits of 56070 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 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56070 = 2 \times 3^{2} \times 5 \times 7 \times 89 \]

56070 at a glance

PropertyValue
Typecomposite
Number of divisors48
Sum of divisors168480
Euler totient φ(n)12672
Square3143844900
Cube176275383543000
Square root236.791047 (= 3√6230)
Digit sum / digital root18 / 9
Collatz steps to 134
Scientific notation5.607 × 10410^{4}

56070 in other forms

FormValue
In wordsfifty-six thousand and seventy
Binary (base 2)1101101100000110
Octal (base 8)155406
Hexadecimal (base 16)DB06
Base 32211220200
As time56070 seconds = 15 h 34 min 30 s

Is 56070 divisible by 2 to 12?

DivisorAnswerRule
2Yes (56070 ÷ 2 = 28035)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (56070 ÷ 3 = 18690)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 (56070 ÷ 5 = 11214)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (56070 ÷ 6 = 9345)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (56070 ÷ 7 = 8010)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (56070 ÷ 9 = 6230)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (56070 ÷ 10 = 5607)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 56070 a prime number?

No. 56070 = 2 × 323^{2} × 5 × 7 × 89, so it is divisible by 2.

What are the factors of 56070?

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 89, 90, 105, 126, 178, 210, 267, 315, 445, 534, 623, 630, 801, 890, 1246, 1335, 1602, 1869, 2670, 3115, 3738, 4005, 5607, 6230, 8010, 9345, 11214, 18690, 28035, 56070.

What is 56070 in binary?

1101101100000110 (hexadecimal DB06, octal 155406).

What is the square root of 56070?

About 236.7910, exactly 3√6230.

Is 56070 divisible by 3?

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

What is special about the number 56070?

56070 is a Harshad number: divisible by its digit sum 18.

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