The number 95420
95420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 367. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 367, 734, 1468, 1835 … 95420.
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How to work it out
- 1
What is special about 95420: a Harshad number: divisible by its digit sum 20.
- 2
95420 is composite. Its prime factorisation is
- 3
The divisors add up to 216384; without 95420 itself that is 120964, so 95420 is abundant (120964 is more than 95420). Euler's totient φ(95420) = 35136 numbers up to 95420 share no factor with it.
- 4
The digits of 95420 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 95420 = 2^{2} \times 5 \times 13 \times 367 \]95420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 216384 |
| Euler totient φ(n) | 35136 |
| Square | 9104976400 |
| Cube | 868796848088000 |
| Square root | 308.901279 (= 2√23855) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.542 × |
95420 in other forms
| Form | Value |
|---|---|
| In words | ninety-five thousand four hundred and twenty |
| Binary (base 2) | 10111010010111100 |
| Octal (base 8) | 272274 |
| Hexadecimal (base 16) | 174BC |
| Base 3 | 11211220002 |
| As time | 95420 seconds = 26 h 30 min 20 s |
Is 95420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (95420 ÷ 2 = 47710) | 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 (95420 ÷ 4 = 23855) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (95420 ÷ 5 = 19084) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (95420 ÷ 10 = 9542) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 95420 a prime number?
No. 95420 = × 5 × 13 × 367, so it is divisible by 2.
What are the factors of 95420?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 367, 734, 1468, 1835, 3670, 4771, 7340, 9542, 19084, 23855, 47710, 95420.
What is 95420 in binary?
10111010010111100 (hexadecimal 174BC, octal 272274).
What is the square root of 95420?
About 308.9013, exactly 2√23855.
Is 95420 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 95420?
95420 is a Harshad number: divisible by its digit sum 20.