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The number 61480

61480 is a composite number with 32 divisors. Its prime factorisation is 232^{3} × 5 × 29 × 53. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 29, 40, 53, 58, 106, 116, 145, 212, 232 … 61480.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    61480 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

    61480 is composite. Its prime factorisation is

    61480=23×5×29×5361480 = 2^{3} \times 5 \times 29 \times 53
  3. 3

    The divisors add up to 145800; without 61480 itself that is 84320, so 61480 is abundant (84320 is more than 61480). Euler's totient φ(61480) = 23296 numbers up to 61480 share no factor with it.

  4. 4

    The digits of 61480 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 148 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61480 = 2^{3} \times 5 \times 29 \times 53 \]

61480 at a glance

PropertyValue
Typecomposite
Number of divisors32
Sum of divisors145800
Euler totient φ(n)23296
Square3779790400
Cube232381513792000
Square root247.951608 (= 2√15370)
Digit sum / digital root19 / 1
Collatz steps to 1148
Scientific notation6.148 × 10410^{4}

61480 in other forms

FormValue
In wordssixty-one thousand four hundred and eighty
Binary (base 2)1111000000101000
Octal (base 8)170050
Hexadecimal (base 16)F028
Base 310010100001
As time61480 seconds = 17 h 4 min 40 s

Is 61480 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61480 ÷ 2 = 30740)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 (61480 ÷ 4 = 15370)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (61480 ÷ 5 = 12296)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 6)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 (61480 ÷ 8 = 7685)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 (61480 ÷ 10 = 6148)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61480 a prime number?

No. 61480 = 232^{3} × 5 × 29 × 53, so it is divisible by 2.

What are the factors of 61480?

1, 2, 4, 5, 8, 10, 20, 29, 40, 53, 58, 106, 116, 145, 212, 232, 265, 290, 424, 530, 580, 1060, 1160, 1537, 2120, 3074, 6148, 7685, 12296, 15370, 30740, 61480.

What is 61480 in binary?

1111000000101000 (hexadecimal F028, octal 170050).

What is the square root of 61480?

About 247.9516, exactly 2√15370.

Is 61480 divisible by 3?

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

What is special about the number 61480?

It is a composite number with 32 divisors.

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