The number 26740
26740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 191. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 191, 382, 764, 955 … 26740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26740 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 26740 itself that is 37772, so 26740 is abundant (37772 is more than 26740). Euler's totient φ(26740) = 9120 numbers up to 26740 share no factor with it.
- 4
The digits of 26740 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26740 = 2^{2} \times 5 \times 7 \times 191 \]26740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 9120 |
| Square | 715027600 |
| Cube | 19119838024000 |
| Square root | 163.523699 (= 2√6685) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.674 × |
26740 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and forty |
| Binary (base 2) | 110100001110100 |
| Octal (base 8) | 64164 |
| Hexadecimal (base 16) | 6874 |
| Base 3 | 1100200101 |
| As time | 26740 seconds = 7 h 25 min 40 s |
Is 26740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26740 ÷ 2 = 13370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26740 ÷ 4 = 6685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26740 ÷ 5 = 5348) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26740 ÷ 7 = 3820) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26740 ÷ 10 = 2674) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26740 a prime number?
No. 26740 = × 5 × 7 × 191, so it is divisible by 2.
What are the factors of 26740?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 191, 382, 764, 955, 1337, 1910, 2674, 3820, 5348, 6685, 13370, 26740.
What is 26740 in binary?
110100001110100 (hexadecimal 6874, octal 64164).
What is the square root of 26740?
About 163.5237, exactly 2√6685.
Is 26740 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 26740?
It is a composite number with 24 divisors.