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The number 62140

62140 is a composite number with 24 divisors. Its prime factorisation is 222^{2} × 5 × 13 × 239. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 239, 260, 478, 956, 1195 … 62140.

Number

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How to work it out

  1. 1

    What is special about 62140: a Harshad number: divisible by its digit sum 13.

  2. 2

    62140 is composite. Its prime factorisation is

    62140=22×5×13×23962140 = 2^{2} \times 5 \times 13 \times 239
  3. 3

    The divisors add up to 141120; without 62140 itself that is 78980, so 62140 is abundant (78980 is more than 62140). Euler's totient φ(62140) = 22848 numbers up to 62140 share no factor with it.

  4. 4

    The digits of 62140 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62140 = 2^{2} \times 5 \times 13 \times 239 \]

62140 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors141120
Euler totient φ(n)22848
Square3861379600
Cube239946128344000
Square root249.278960 (= 2√15535)
Digit sum / digital root13 / 4
Collatz steps to 1117
Scientific notation6.214 × 10410^{4}

62140 in other forms

FormValue
In wordssixty-two thousand one hundred and forty
Binary (base 2)1111001010111100
Octal (base 8)171274
Hexadecimal (base 16)F2BC
Base 310011020111
As time62140 seconds = 17 h 15 min 40 s

Is 62140 divisible by 2 to 12?

DivisorAnswerRule
2Yes (62140 ÷ 2 = 31070)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 (62140 ÷ 4 = 15535)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (62140 ÷ 5 = 12428)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 1)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.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (62140 ÷ 10 = 6214)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 62140 a prime number?

No. 62140 = 222^{2} × 5 × 13 × 239, so it is divisible by 2.

What are the factors of 62140?

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 239, 260, 478, 956, 1195, 2390, 3107, 4780, 6214, 12428, 15535, 31070, 62140.

What is 62140 in binary?

1111001010111100 (hexadecimal F2BC, octal 171274).

What is the square root of 62140?

About 249.2790, exactly 2√15535.

Is 62140 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 62140?

62140 is a Harshad number: divisible by its digit sum 13.

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    62140: is it prime? Factors, square root, binary, Roman numeral | WordGPT