The number 26640
26640 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 37. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 26640.
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How to work it out
- 1
What is special about 26640: a Harshad number: divisible by its digit sum 18.
- 2
26640 is composite. Its prime factorisation is
- 3
The divisors add up to 91884; without 26640 itself that is 65244, so 26640 is abundant (65244 is more than 26640). Euler's totient φ(26640) = 6912 numbers up to 26640 share no factor with it.
- 4
The digits of 26640 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26640 = 2^{4} \times 3^{2} \times 5 \times 37 \]26640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 91884 |
| Euler totient φ(n) | 6912 |
| Square | 709689600 |
| Cube | 18906130944000 |
| Square root | 163.217646 (= 12√185) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.664 × |
26640 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand six hundred and forty |
| Binary (base 2) | 110100000010000 |
| Octal (base 8) | 64020 |
| Hexadecimal (base 16) | 6810 |
| Base 3 | 1100112200 |
| As time | 26640 seconds = 7 h 24 min 0 s |
Is 26640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26640 ÷ 2 = 13320) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26640 ÷ 3 = 8880) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26640 ÷ 4 = 6660) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26640 ÷ 5 = 5328) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26640 ÷ 6 = 4440) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (26640 ÷ 8 = 3330) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26640 ÷ 9 = 2960) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26640 ÷ 10 = 2664) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26640 ÷ 12 = 2220) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26640 a prime number?
No. 26640 = × × 5 × 37, so it is divisible by 2.
What are the factors of 26640?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 37, 40, 45, 48, 60, 72, 74, 80, 90, 111, 120, 144, 148, 180, 185, 222, 240, 296, 333, 360, 370, 444, 555, 592, 666, 720, 740, 888, 1110, 1332, 1480, 1665, 1776, 2220, 2664, 2960, 3330, 4440, 5328, 6660, 8880, 13320, 26640.
What is 26640 in binary?
110100000010000 (hexadecimal 6810, octal 64020).
What is the square root of 26640?
About 163.2176, exactly 12√185.
Is 26640 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 26640?
26640 is a Harshad number: divisible by its digit sum 18.