The number 1400
1400 is a composite number with 24 divisors. Its prime factorisation is × × 7. Divisors (24): 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70 … 1400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1400: a Harshad number: divisible by its digit sum 5.
- 2
1400 is composite. Its prime factorisation is
- 3
The divisors add up to 3720; without 1400 itself that is 2320, so 1400 is abundant (2320 is more than 1400). Euler's totient φ(1400) = 480 numbers up to 1400 share no factor with it.
- 4
The digits of 1400 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1400 = 2^{3} \times 5^{2} \times 7 \]1400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 3720 |
| Euler totient φ(n) | 480 |
| Square | 1960000 |
| Cube | 2744000000 |
| Square root | 37.416574 (= 10√14) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 83 |
| Scientific notation | 1.4 × |
1400 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred |
| Roman numerals | MCD |
| Binary (base 2) | 10101111000 |
| Octal (base 8) | 2570 |
| Hexadecimal (base 16) | 578 |
| Base 3 | 1220212 |
| As time | 1400 seconds = 23 min 20 s |
Is 1400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1400 ÷ 2 = 700) | 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 (1400 ÷ 4 = 350) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1400 ÷ 5 = 280) | 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 | Yes (1400 ÷ 7 = 200) | 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 (1400 ÷ 8 = 175) | 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 (1400 ÷ 10 = 140) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 1400 a prime number?
No. 1400 = × × 7, so it is divisible by 2.
What are the factors of 1400?
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400.
What is 1400 in binary?
10101111000 (hexadecimal 578, octal 2570).
What is the square root of 1400?
About 37.4166, exactly 10√14.
What is 1400 in Roman numerals?
MCD.
Is 1400 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 1400?
1400 is a Harshad number: divisible by its digit sum 5.