The number 74160
74160 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 103. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 74160.
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How to work it out
- 1
What is special about 74160: a Harshad number: divisible by its digit sum 18.
- 2
74160 is composite. Its prime factorisation is
- 3
The divisors add up to 251472; without 74160 itself that is 177312, so 74160 is abundant (177312 is more than 74160). Euler's totient φ(74160) = 19584 numbers up to 74160 share no factor with it.
- 4
The digits of 74160 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74160 = 2^{4} \times 3^{2} \times 5 \times 103 \]74160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 251472 |
| Euler totient φ(n) | 19584 |
| Square | 5499705600 |
| Cube | 407858167296000 |
| Square root | 272.323337 (= 12√515) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.416 × |
74160 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and sixty |
| Binary (base 2) | 10010000110110000 |
| Octal (base 8) | 220660 |
| Hexadecimal (base 16) | 121B0 |
| Base 3 | 10202201200 |
| As time | 74160 seconds = 20 h 36 min 0 s |
Is 74160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74160 ÷ 2 = 37080) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74160 ÷ 3 = 24720) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74160 ÷ 4 = 18540) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74160 ÷ 5 = 14832) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74160 ÷ 6 = 12360) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (74160 ÷ 8 = 9270) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74160 ÷ 9 = 8240) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74160 ÷ 10 = 7416) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74160 ÷ 12 = 6180) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74160 a prime number?
No. 74160 = × × 5 × 103, so it is divisible by 2.
What are the factors of 74160?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 103, 120, 144, 180, 206, 240, 309, 360, 412, 515, 618, 720, 824, 927, 1030, 1236, 1545, 1648, 1854, 2060, 2472, 3090, 3708, 4120, 4635, 4944, 6180, 7416, 8240, 9270, 12360, 14832, 18540, 24720, 37080, 74160.
What is 74160 in binary?
10010000110110000 (hexadecimal 121B0, octal 220660).
What is the square root of 74160?
About 272.3233, exactly 12√515.
Is 74160 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74160?
74160 is a Harshad number: divisible by its digit sum 18.