The number 13420
13420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 61. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 61, 110, 122, 220, 244, 305 … 13420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13420: a Harshad number: divisible by its digit sum 10.
- 2
13420 is composite. Its prime factorisation is
- 3
The divisors add up to 31248; without 13420 itself that is 17828, so 13420 is abundant (17828 is more than 13420). Euler's totient φ(13420) = 4800 numbers up to 13420 share no factor with it.
- 4
The digits of 13420 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13420 = 2^{2} \times 5 \times 11 \times 61 \]13420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 31248 |
| Euler totient φ(n) | 4800 |
| Square | 180096400 |
| Cube | 2416893688000 |
| Square root | 115.844724 (= 2√3355) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.342 × |
13420 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and twenty |
| Binary (base 2) | 11010001101100 |
| Octal (base 8) | 32154 |
| Hexadecimal (base 16) | 346C |
| Base 3 | 200102001 |
| As time | 13420 seconds = 3 h 43 min 40 s |
Is 13420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13420 ÷ 2 = 6710) | 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 (13420 ÷ 4 = 3355) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13420 ÷ 5 = 2684) | 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 (13420 ÷ 10 = 1342) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13420 ÷ 11 = 1220) | 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 13420 a prime number?
No. 13420 = × 5 × 11 × 61, so it is divisible by 2.
What are the factors of 13420?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 61, 110, 122, 220, 244, 305, 610, 671, 1220, 1342, 2684, 3355, 6710, 13420.
What is 13420 in binary?
11010001101100 (hexadecimal 346C, octal 32154).
What is the square root of 13420?
About 115.8447, exactly 2√3355.
Is 13420 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13420?
13420 is a Harshad number: divisible by its digit sum 10.