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The number 25640

25640 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 5 × 641. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 641, 1282, 2564, 3205, 5128, 6410, 12820, 25640.

Number

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How to work it out

  1. 1

    25640 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

    25640 is composite. Its prime factorisation is

    25640=23×5×64125640 = 2^{3} \times 5 \times 641
  3. 3

    The divisors add up to 57780; without 25640 itself that is 32140, so 25640 is abundant (32140 is more than 25640). Euler's totient φ(25640) = 10240 numbers up to 25640 share no factor with it.

  4. 4

    The digits of 25640 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.

LaTeX source of the formulas on this page
\[ 25640 = 2^{3} \times 5 \times 641 \]

25640 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors57780
Euler totient φ(n)10240
Square657409600
Cube16855982144000
Square root160.124951 (= 2√6410)
Digit sum / digital root17 / 8
Collatz steps to 164
Scientific notation2.564 × 10410^{4}

25640 in other forms

FormValue
In wordstwenty-five thousand six hundred and forty
Binary (base 2)110010000101000
Octal (base 8)62050
Hexadecimal (base 16)6428
Base 31022011122
As time25640 seconds = 7 h 7 min 20 s

Is 25640 divisible by 2 to 12?

DivisorAnswerRule
2Yes (25640 ÷ 2 = 12820)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 (25640 ÷ 4 = 6410)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (25640 ÷ 5 = 5128)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 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 (25640 ÷ 8 = 3205)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (25640 ÷ 10 = 2564)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 25640 a prime number?

No. 25640 = 232^{3} × 5 × 641, so it is divisible by 2.

What are the factors of 25640?

1, 2, 4, 5, 8, 10, 20, 40, 641, 1282, 2564, 3205, 5128, 6410, 12820, 25640.

What is 25640 in binary?

110010000101000 (hexadecimal 6428, octal 62050).

What is the square root of 25640?

About 160.1250, exactly 2√6410.

Is 25640 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 25640?

It is a composite number with 16 divisors.

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