The number 60400
60400 is a composite number with 30 divisors. Its prime factorisation is × × 151. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 151, 200, 302 … 60400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60400: a Harshad number: divisible by its digit sum 10.
- 2
60400 is composite. Its prime factorisation is
- 3
The divisors add up to 146072; without 60400 itself that is 85672, so 60400 is abundant (85672 is more than 60400). Euler's totient φ(60400) = 24000 numbers up to 60400 share no factor with it.
- 4
The digits of 60400 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60400 = 2^{4} \times 5^{2} \times 151 \]60400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 146072 |
| Euler totient φ(n) | 24000 |
| Square | 3648160000 |
| Cube | 220348864000000 |
| Square root | 245.764115 (= 20√151) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.04 × |
60400 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand four hundred |
| Binary (base 2) | 1110101111110000 |
| Octal (base 8) | 165760 |
| Hexadecimal (base 16) | EBF0 |
| Base 3 | 10001212001 |
| As time | 60400 seconds = 16 h 46 min 40 s |
Is 60400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60400 ÷ 2 = 30200) | 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 (60400 ÷ 4 = 15100) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60400 ÷ 5 = 12080) | 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 4) | 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 (60400 ÷ 8 = 7550) | 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 (60400 ÷ 10 = 6040) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60400 a prime number?
No. 60400 = × × 151, so it is divisible by 2.
What are the factors of 60400?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 151, 200, 302, 400, 604, 755, 1208, 1510, 2416, 3020, 3775, 6040, 7550, 12080, 15100, 30200, 60400.
What is 60400 in binary?
1110101111110000 (hexadecimal EBF0, octal 165760).
What is the square root of 60400?
About 245.7641, exactly 20√151.
Is 60400 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 60400?
60400 is a Harshad number: divisible by its digit sum 10.