The number 74120
74120 is a composite number with 32 divisors. Its prime factorisation is × 5 × 17 × 109. Divisors (32): 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 109, 136, 170, 218 … 74120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74120: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74120 is composite. Its prime factorisation is
- 3
The divisors add up to 178200; without 74120 itself that is 104080, so 74120 is abundant (104080 is more than 74120). Euler's totient φ(74120) = 27648 numbers up to 74120 share no factor with it.
- 4
The digits of 74120 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74120 = 2^{3} \times 5 \times 17 \times 109 \]74120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 178200 |
| Euler totient φ(n) | 27648 |
| Square | 5493774400 |
| Cube | 407198558528000 |
| Square root | 272.249885 (= 2√18530) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.412 × |
74120 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and twenty |
| Binary (base 2) | 10010000110001000 |
| Octal (base 8) | 220610 |
| Hexadecimal (base 16) | 12188 |
| Base 3 | 10202200012 |
| As time | 74120 seconds = 20 h 35 min 20 s |
Is 74120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74120 ÷ 2 = 37060) | 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 (74120 ÷ 4 = 18530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74120 ÷ 5 = 14824) | 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 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 (74120 ÷ 8 = 9265) | 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 (74120 ÷ 10 = 7412) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 74120 a prime number?
No. 74120 = × 5 × 17 × 109, so it is divisible by 2.
What are the factors of 74120?
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 109, 136, 170, 218, 340, 436, 545, 680, 872, 1090, 1853, 2180, 3706, 4360, 7412, 9265, 14824, 18530, 37060, 74120.
What is 74120 in binary?
10010000110001000 (hexadecimal 12188, octal 220610).
What is the square root of 74120?
About 272.2499, exactly 2√18530.
Is 74120 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 74120?
74120 is a happy number: repeatedly adding the squares of its digits reaches 1.