The number 36420
36420 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 607. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 607, 1214, 1821, 2428 … 36420.
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How to work it out
- 1
What is special about 36420: a Harshad number: divisible by its digit sum 15.
- 2
36420 is composite. Its prime factorisation is
- 3
The divisors add up to 102144; without 36420 itself that is 65724, so 36420 is abundant (65724 is more than 36420). Euler's totient φ(36420) = 9696 numbers up to 36420 share no factor with it.
- 4
The digits of 36420 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36420 = 2^{2} \times 3 \times 5 \times 607 \]36420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102144 |
| Euler totient φ(n) | 9696 |
| Square | 1326416400 |
| Cube | 48308085288000 |
| Square root | 190.840247 (= 2√9105) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.642 × |
36420 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand four hundred and twenty |
| Binary (base 2) | 1000111001000100 |
| Octal (base 8) | 107104 |
| Hexadecimal (base 16) | 8E44 |
| Base 3 | 1211221220 |
| As time | 36420 seconds = 10 h 7 min 0 s |
Is 36420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36420 ÷ 2 = 18210) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36420 ÷ 3 = 12140) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36420 ÷ 4 = 9105) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36420 ÷ 5 = 7284) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36420 ÷ 6 = 6070) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36420 ÷ 10 = 3642) | 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 | Yes (36420 ÷ 12 = 3035) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36420 a prime number?
No. 36420 = × 3 × 5 × 607, so it is divisible by 2.
What are the factors of 36420?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 607, 1214, 1821, 2428, 3035, 3642, 6070, 7284, 9105, 12140, 18210, 36420.
What is 36420 in binary?
1000111001000100 (hexadecimal 8E44, octal 107104).
What is the square root of 36420?
About 190.8402, exactly 2√9105.
Is 36420 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 36420?
36420 is a Harshad number: divisible by its digit sum 15.