The number 51040
51040 is a triangular number: 1 + 2 + … + 319 = 51040. Its prime factorisation is × 5 × 11 × 29. Divisors (48): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 29, 32, 40, 44, 55, 58 … 51040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51040: a triangular number: 1 + 2 + … + 319 = 51040; a Harshad number: divisible by its digit sum 10.
- 2
51040 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 51040 itself that is 85040, so 51040 is abundant (85040 is more than 51040). Euler's totient φ(51040) = 17920 numbers up to 51040 share no factor with it.
- 4
The digits of 51040 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51040 = 2^{5} \times 5 \times 11 \times 29 \]51040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 17920 |
| Square | 2605081600 |
| Cube | 132963364864000 |
| Square root | 225.920340 (= 4√3190) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.104 × |
51040 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand and forty |
| Binary (base 2) | 1100011101100000 |
| Octal (base 8) | 143540 |
| Hexadecimal (base 16) | C760 |
| Base 3 | 2121000101 |
| As time | 51040 seconds = 14 h 10 min 40 s |
Is 51040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51040 ÷ 2 = 25520) | 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 (51040 ÷ 4 = 12760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (51040 ÷ 5 = 10208) | 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 | No (remainder 3) | 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 (51040 ÷ 8 = 6380) | 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 (51040 ÷ 10 = 5104) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (51040 ÷ 11 = 4640) | 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 51040 a prime number?
No. 51040 = × 5 × 11 × 29, so it is divisible by 2.
What are the factors of 51040?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 29, 32, 40, 44, 55, 58, 80, 88, 110, 116, 145, 160, 176, 220, 232, 290, 319, 352, 440, 464, 580, 638, 880, 928, 1160, 1276, 1595, 1760, 2320, 2552, 3190, 4640, 5104, 6380, 10208, 12760, 25520, 51040.
What is 51040 in binary?
1100011101100000 (hexadecimal C760, octal 143540).
What is the square root of 51040?
About 225.9203, exactly 4√3190.
Is 51040 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 51040?
51040 is a triangular number: 1 + 2 + … + 319 = 51040; a Harshad number: divisible by its digit sum 10.