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The number 61040

61040 is a composite number with 40 divisors. Its prime factorisation is 242^{4} × 5 × 7 × 109. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80 … 61040.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    61040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    61040 is composite. Its prime factorisation is

    61040=24×5×7×10961040 = 2^{4} \times 5 \times 7 \times 109
  3. 3

    The divisors add up to 163680; without 61040 itself that is 102640, so 61040 is abundant (102640 is more than 61040). Euler's totient φ(61040) = 20736 numbers up to 61040 share no factor with it.

  4. 4

    The digits of 61040 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61040 = 2^{4} \times 5 \times 7 \times 109 \]

61040 at a glance

PropertyValue
Typecomposite
Number of divisors40
Sum of divisors163680
Euler totient φ(n)20736
Square3725881600
Cube227427812864000
Square root247.062745 (= 4√3815)
Digit sum / digital root11 / 2
Collatz steps to 1179
Scientific notation6.104 × 10410^{4}

61040 in other forms

FormValue
In wordssixty-one thousand and forty
Binary (base 2)1110111001110000
Octal (base 8)167160
Hexadecimal (base 16)EE70
Base 310002201202
As time61040 seconds = 16 h 57 min 20 s

Is 61040 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61040 ÷ 2 = 30520)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (61040 ÷ 4 = 15260)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (61040 ÷ 5 = 12208)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (61040 ÷ 7 = 8720)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 (61040 ÷ 8 = 7630)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (61040 ÷ 10 = 6104)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61040 a prime number?

No. 61040 = 242^{4} × 5 × 7 × 109, so it is divisible by 2.

What are the factors of 61040?

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 109, 112, 140, 218, 280, 436, 545, 560, 763, 872, 1090, 1526, 1744, 2180, 3052, 3815, 4360, 6104, 7630, 8720, 12208, 15260, 30520, 61040.

What is 61040 in binary?

1110111001110000 (hexadecimal EE70, octal 167160).

What is the square root of 61040?

About 247.0627, exactly 4√3815.

Is 61040 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 61040?

It is a composite number with 40 divisors.

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