The number 35420
35420 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 11 × 23. Divisors (48): 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 23, 28, 35, 44, 46, 55 … 35420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35420: a Harshad number: divisible by its digit sum 14.
- 2
35420 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 35420 itself that is 61348, so 35420 is abundant (61348 is more than 35420). Euler's totient φ(35420) = 10560 numbers up to 35420 share no factor with it.
- 4
The digits of 35420 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35420 = 2^{2} \times 5 \times 7 \times 11 \times 23 \]35420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 10560 |
| Square | 1254576400 |
| Cube | 44437096088000 |
| Square root | 188.202019 (= 2√8855) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.542 × |
35420 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and twenty |
| Binary (base 2) | 1000101001011100 |
| Octal (base 8) | 105134 |
| Hexadecimal (base 16) | 8A5C |
| Base 3 | 1210120212 |
| As time | 35420 seconds = 9 h 50 min 20 s |
Is 35420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35420 ÷ 2 = 17710) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35420 ÷ 4 = 8855) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35420 ÷ 5 = 7084) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35420 ÷ 7 = 5060) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35420 ÷ 10 = 3542) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (35420 ÷ 11 = 3220) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35420 a prime number?
No. 35420 = × 5 × 7 × 11 × 23, so it is divisible by 2.
What are the factors of 35420?
1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 23, 28, 35, 44, 46, 55, 70, 77, 92, 110, 115, 140, 154, 161, 220, 230, 253, 308, 322, 385, 460, 506, 644, 770, 805, 1012, 1265, 1540, 1610, 1771, 2530, 3220, 3542, 5060, 7084, 8855, 17710, 35420.
What is 35420 in binary?
1000101001011100 (hexadecimal 8A5C, octal 105134).
What is the square root of 35420?
About 188.2020, exactly 2√8855.
Is 35420 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 35420?
35420 is a Harshad number: divisible by its digit sum 14.