The number 74520
74520 is a composite number with 80 divisors. Its prime factorisation is × × 5 × 23. Divisors (80): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 27 … 74520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74520: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
74520 is composite. Its prime factorisation is
- 3
The divisors add up to 261360; without 74520 itself that is 186840, so 74520 is abundant (186840 is more than 74520). Euler's totient φ(74520) = 19008 numbers up to 74520 share no factor with it.
- 4
The digits of 74520 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74520 = 2^{3} \times 3^{4} \times 5 \times 23 \]74520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 261360 |
| Euler totient φ(n) | 19008 |
| Square | 5553230400 |
| Cube | 413826729408000 |
| Square root | 272.983516 (= 18√230) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.452 × |
74520 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand five hundred and twenty |
| Binary (base 2) | 10010001100011000 |
| Octal (base 8) | 221430 |
| Hexadecimal (base 16) | 12318 |
| Base 3 | 10210020000 |
| As time | 74520 seconds = 20 h 42 min 0 s |
Is 74520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74520 ÷ 2 = 37260) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74520 ÷ 3 = 24840) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74520 ÷ 4 = 18630) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74520 ÷ 5 = 14904) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74520 ÷ 6 = 12420) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (74520 ÷ 8 = 9315) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74520 ÷ 9 = 8280) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74520 ÷ 10 = 7452) | 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 | Yes (74520 ÷ 12 = 6210) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74520 a prime number?
No. 74520 = × × 5 × 23, so it is divisible by 2.
What are the factors of 74520?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 27, 30, 36, 40, 45, 46, 54, 60, 69, 72, 81, 90, 92, 108, 115, 120, 135, 138, 162, 180, 184, 207, 216, 230, 270, 276, 324, 345, 360, 405, 414, 460, 540, 552, 621, 648, 690, 810, 828, 920, 1035, 1080, 1242, 1380, 1620, 1656, 1863, 2070, 2484, 2760, 3105, 3240, 3726, 4140, 4968, 6210, 7452, 8280, 9315, 12420, 14904, 18630, 24840, 37260, 74520.
What is 74520 in binary?
10010001100011000 (hexadecimal 12318, octal 221430).
What is the square root of 74520?
About 272.9835, exactly 18√230.
Is 74520 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74520?
74520 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.