The number 70400
70400 is a composite number with 54 divisors. Its prime factorisation is × × 11. Divisors (54): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55 … 70400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70400: a Harshad number: divisible by its digit sum 11.
- 2
70400 is composite. Its prime factorisation is
- 3
The divisors add up to 190092; without 70400 itself that is 119692, so 70400 is abundant (119692 is more than 70400). Euler's totient φ(70400) = 25600 numbers up to 70400 share no factor with it.
- 4
The digits of 70400 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 70400 = 2^{8} \times 5^{2} \times 11 \]70400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 190092 |
| Euler totient φ(n) | 25600 |
| Square | 4956160000 |
| Cube | 348913664000000 |
| Square root | 265.329983 (= 80√11) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.04 × |
70400 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand four hundred |
| Binary (base 2) | 10001001100000000 |
| Octal (base 8) | 211400 |
| Hexadecimal (base 16) | 11300 |
| Base 3 | 10120120102 |
| As time | 70400 seconds = 19 h 33 min 20 s |
Is 70400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (70400 ÷ 2 = 35200) | 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 (70400 ÷ 4 = 17600) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (70400 ÷ 5 = 14080) | 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 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 | Yes (70400 ÷ 8 = 8800) | 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 (70400 ÷ 10 = 7040) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (70400 ÷ 11 = 6400) | 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 70400 a prime number?
No. 70400 = × × 11, so it is divisible by 2.
What are the factors of 70400?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 128, 160, 176, 200, 220, 256, 275, 320, 352, 400, 440, 550, 640, 704, 800, 880, 1100, 1280, 1408, 1600, 1760, 2200, 2816, 3200, 3520, 4400, 6400, 7040, 8800, 14080, 17600, 35200, 70400.
What is 70400 in binary?
10001001100000000 (hexadecimal 11300, octal 211400).
What is the square root of 70400?
About 265.3300, exactly 80√11.
Is 70400 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 70400?
70400 is a Harshad number: divisible by its digit sum 11.