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The number 62120

62120 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 5 × 1553. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1553, 3106, 6212, 7765, 12424, 15530, 31060, 62120.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    62120 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

    62120 is composite. Its prime factorisation is

    62120=23×5×155362120 = 2^{3} \times 5 \times 1553
  3. 3

    The divisors add up to 139860; without 62120 itself that is 77740, so 62120 is abundant (77740 is more than 62120). Euler's totient φ(62120) = 24832 numbers up to 62120 share no factor with it.

  4. 4

    The digits of 62120 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 104 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62120 = 2^{3} \times 5 \times 1553 \]

62120 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors139860
Euler totient φ(n)24832
Square3858894400
Cube239714520128000
Square root249.238841 (= 2√15530)
Digit sum / digital root11 / 2
Collatz steps to 1104
Scientific notation6.212 × 10410^{4}

62120 in other forms

FormValue
In wordssixty-two thousand one hundred and twenty
Binary (base 2)1111001010101000
Octal (base 8)171250
Hexadecimal (base 16)F2A8
Base 310011012202
As time62120 seconds = 17 h 15 min 20 s

Is 62120 divisible by 2 to 12?

DivisorAnswerRule
2Yes (62120 ÷ 2 = 31060)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 (62120 ÷ 4 = 15530)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (62120 ÷ 5 = 12424)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.
7No (remainder 2)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 (62120 ÷ 8 = 7765)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 (62120 ÷ 10 = 6212)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62120 a prime number?

No. 62120 = 232^{3} × 5 × 1553, so it is divisible by 2.

What are the factors of 62120?

1, 2, 4, 5, 8, 10, 20, 40, 1553, 3106, 6212, 7765, 12424, 15530, 31060, 62120.

What is 62120 in binary?

1111001010101000 (hexadecimal F2A8, octal 171250).

What is the square root of 62120?

About 249.2388, exactly 2√15530.

Is 62120 divisible by 3?

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

What is special about the number 62120?

It is a composite number with 16 divisors.

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