The number 51220
51220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 197. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 197, 260, 394, 788, 985 … 51220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51220: a Harshad number: divisible by its digit sum 10.
- 2
51220 is composite. Its prime factorisation is
- 3
The divisors add up to 116424; without 51220 itself that is 65204, so 51220 is abundant (65204 is more than 51220). Euler's totient φ(51220) = 18816 numbers up to 51220 share no factor with it.
- 4
The digits of 51220 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 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51220 = 2^{2} \times 5 \times 13 \times 197 \]51220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 116424 |
| Euler totient φ(n) | 18816 |
| Square | 2623488400 |
| Cube | 134375075848000 |
| Square root | 226.318360 (= 2√12805) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.122 × |
51220 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand two hundred and twenty |
| Binary (base 2) | 1100100000010100 |
| Octal (base 8) | 144024 |
| Hexadecimal (base 16) | C814 |
| Base 3 | 2121021001 |
| As time | 51220 seconds = 14 h 13 min 40 s |
Is 51220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51220 ÷ 2 = 25610) | 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 (51220 ÷ 4 = 12805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (51220 ÷ 5 = 10244) | 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 1) | 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 (51220 ÷ 10 = 5122) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 51220 a prime number?
No. 51220 = × 5 × 13 × 197, so it is divisible by 2.
What are the factors of 51220?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 197, 260, 394, 788, 985, 1970, 2561, 3940, 5122, 10244, 12805, 25610, 51220.
What is 51220 in binary?
1100100000010100 (hexadecimal C814, octal 144024).
What is the square root of 51220?
About 226.3184, exactly 2√12805.
Is 51220 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 51220?
51220 is a Harshad number: divisible by its digit sum 10.