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The number 70740

70740 is a composite number with 48 divisors. Its prime factorisation is 222^{2} × 333^{3} × 5 × 131. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 70740.

Number

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How to work it out

  1. 1

    What is special about 70740: a Harshad number: divisible by its digit sum 18.

  2. 2

    70740 is composite. Its prime factorisation is

    70740=22×33×5×13170740 = 2^{2} \times 3^{3} \times 5 \times 131
  3. 3

    The divisors add up to 221760; without 70740 itself that is 151020, so 70740 is abundant (151020 is more than 70740). Euler's totient φ(70740) = 18720 numbers up to 70740 share no factor with it.

  4. 4

    The digits of 70740 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 99 steps to reach 1.

LaTeX source of the formulas on this page
\[ 70740 = 2^{2} \times 3^{3} \times 5 \times 131 \]

70740 at a glance

PropertyValue
Typecomposite
Number of divisors48
Sum of divisors221760
Euler totient φ(n)18720
Square5004147600
Cube353993401224000
Square root265.969923 (= 6√1965)
Digit sum / digital root18 / 9
Collatz steps to 199
Scientific notation7.074 × 10410^{4}

70740 in other forms

FormValue
In wordsseventy thousand seven hundred and forty
Binary (base 2)10001010001010100
Octal (base 8)212124
Hexadecimal (base 16)11454
Base 310121001000
As time70740 seconds = 19 h 39 min 0 s

Is 70740 divisible by 2 to 12?

DivisorAnswerRule
2Yes (70740 ÷ 2 = 35370)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (70740 ÷ 3 = 23580)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (70740 ÷ 4 = 17685)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (70740 ÷ 5 = 14148)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (70740 ÷ 6 = 11790)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.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (70740 ÷ 9 = 7860)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (70740 ÷ 10 = 7074)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12Yes (70740 ÷ 12 = 5895)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70740 a prime number?

No. 70740 = 222^{2} × 333^{3} × 5 × 131, so it is divisible by 2.

What are the factors of 70740?

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 131, 135, 180, 262, 270, 393, 524, 540, 655, 786, 1179, 1310, 1572, 1965, 2358, 2620, 3537, 3930, 4716, 5895, 7074, 7860, 11790, 14148, 17685, 23580, 35370, 70740.

What is 70740 in binary?

10001010001010100 (hexadecimal 11454, octal 212124).

What is the square root of 70740?

About 265.9699, exactly 6√1965.

Is 70740 divisible by 3?

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

What is special about the number 70740?

70740 is a Harshad number: divisible by its digit sum 18.

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