The number 74040
74040 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 617. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 74040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74040: a Harshad number: divisible by its digit sum 15.
- 2
74040 is composite. Its prime factorisation is
- 3
The divisors add up to 222480; without 74040 itself that is 148440, so 74040 is abundant (148440 is more than 74040). Euler's totient φ(74040) = 19712 numbers up to 74040 share no factor with it.
- 4
The digits of 74040 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74040 = 2^{3} \times 3 \times 5 \times 617 \]74040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 222480 |
| Euler totient φ(n) | 19712 |
| Square | 5481921600 |
| Cube | 405881475264000 |
| Square root | 272.102922 (= 2√18510) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.404 × |
74040 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and forty |
| Binary (base 2) | 10010000100111000 |
| Octal (base 8) | 220470 |
| Hexadecimal (base 16) | 12138 |
| Base 3 | 10202120020 |
| As time | 74040 seconds = 20 h 34 min 0 s |
Is 74040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74040 ÷ 2 = 37020) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74040 ÷ 3 = 24680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74040 ÷ 4 = 18510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74040 ÷ 5 = 14808) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74040 ÷ 6 = 12340) | 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 (74040 ÷ 8 = 9255) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74040 ÷ 10 = 7404) | 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 | Yes (74040 ÷ 12 = 6170) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74040 a prime number?
No. 74040 = × 3 × 5 × 617, so it is divisible by 2.
What are the factors of 74040?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 617, 1234, 1851, 2468, 3085, 3702, 4936, 6170, 7404, 9255, 12340, 14808, 18510, 24680, 37020, 74040.
What is 74040 in binary?
10010000100111000 (hexadecimal 12138, octal 220470).
What is the square root of 74040?
About 272.1029, exactly 2√18510.
Is 74040 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 74040?
74040 is a Harshad number: divisible by its digit sum 15.