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The number 70480

70480 is a composite number with 20 divisors. Its prime factorisation is 242^{4} × 5 × 881. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 881, 1762, 3524, 4405, 7048, 8810 … 70480.

Number

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How to work it out

  1. 1

    What is special about 70480: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    70480 is composite. Its prime factorisation is

    70480=24×5×88170480 = 2^{4} \times 5 \times 881
  3. 3

    The divisors add up to 164052; without 70480 itself that is 93572, so 70480 is abundant (93572 is more than 70480). Euler's totient φ(70480) = 28160 numbers up to 70480 share no factor with it.

  4. 4

    The digits of 70480 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.

LaTeX source of the formulas on this page
\[ 70480 = 2^{4} \times 5 \times 881 \]

70480 at a glance

PropertyValue
Typecomposite
Number of divisors20
Sum of divisors164052
Euler totient φ(n)28160
Square4967430400
Cube350104494592000
Square root265.480696 (= 4√4405)
Digit sum / digital root19 / 1
Collatz steps to 199
Scientific notation7.048 × 10410^{4}

70480 in other forms

FormValue
In wordsseventy thousand four hundred and eighty
Binary (base 2)10001001101010000
Octal (base 8)211520
Hexadecimal (base 16)11350
Base 310120200101
As time70480 seconds = 19 h 34 min 40 s

Is 70480 divisible by 2 to 12?

DivisorAnswerRule
2Yes (70480 ÷ 2 = 35240)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (70480 ÷ 4 = 17620)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (70480 ÷ 5 = 14096)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 (70480 ÷ 8 = 8810)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (70480 ÷ 10 = 7048)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70480 a prime number?

No. 70480 = 242^{4} × 5 × 881, so it is divisible by 2.

What are the factors of 70480?

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 881, 1762, 3524, 4405, 7048, 8810, 14096, 17620, 35240, 70480.

What is 70480 in binary?

10001001101010000 (hexadecimal 11350, octal 211520).

What is the square root of 70480?

About 265.4807, exactly 4√4405.

Is 70480 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 70480?

70480 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    70480: is it prime? Factors, square root, binary, Roman numeral | WordGPT