The number 26040
26040 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 7 × 31. Divisors (64): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28 … 26040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26040: a Harshad number: divisible by its digit sum 12.
- 2
26040 is composite. Its prime factorisation is
- 3
The divisors add up to 92160; without 26040 itself that is 66120, so 26040 is abundant (66120 is more than 26040). Euler's totient φ(26040) = 5760 numbers up to 26040 share no factor with it.
- 4
The digits of 26040 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26040 = 2^{3} \times 3 \times 5 \times 7 \times 31 \]26040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 92160 |
| Euler totient φ(n) | 5760 |
| Square | 678081600 |
| Cube | 17657244864000 |
| Square root | 161.369142 (= 2√6510) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.604 × |
26040 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and forty |
| Binary (base 2) | 110010110111000 |
| Octal (base 8) | 62670 |
| Hexadecimal (base 16) | 65B8 |
| Base 3 | 1022201110 |
| As time | 26040 seconds = 7 h 14 min 0 s |
Is 26040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26040 ÷ 2 = 13020) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26040 ÷ 3 = 8680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26040 ÷ 4 = 6510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26040 ÷ 5 = 5208) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26040 ÷ 6 = 4340) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26040 ÷ 7 = 3720) | 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 (26040 ÷ 8 = 3255) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26040 ÷ 10 = 2604) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26040 ÷ 12 = 2170) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26040 a prime number?
No. 26040 = × 3 × 5 × 7 × 31, so it is divisible by 2.
What are the factors of 26040?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 31, 35, 40, 42, 56, 60, 62, 70, 84, 93, 105, 120, 124, 140, 155, 168, 186, 210, 217, 248, 280, 310, 372, 420, 434, 465, 620, 651, 744, 840, 868, 930, 1085, 1240, 1302, 1736, 1860, 2170, 2604, 3255, 3720, 4340, 5208, 6510, 8680, 13020, 26040.
What is 26040 in binary?
110010110111000 (hexadecimal 65B8, octal 62670).
What is the square root of 26040?
About 161.3691, exactly 2√6510.
Is 26040 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 26040?
26040 is a Harshad number: divisible by its digit sum 12.