36 (number)
36 is the natural number following 35 and preceding 37.
| Template:Numbers 30s | |
| Cardinal | thirty-six |
| Ordinal | 36th (thirty-sixth) |
| Factorization | |
| Divisors | 2, 3, 4, 6, 9, 12, 18 |
| Roman numeral | XXXVI |
| Binary | 100100 |
| Hexadecimal | 24 |
In mathematics
It is the square of 6 as well as a triangular number, making it a triangular square number. It is also a 13-gonal number and a highly composite number. It is a Harshad number.
This number is the sum of a twin prime (17 + 19), and the sum of the cubes of the first three integers.
36 is the smallest number n with exactly 8 solutions to the equation φ(x) = n.
36 is the largest base Mathematica's BaseForm command can handle since it represents base 36 numbers with the numerals 0 - 9 and the letters A - Z.
In other fields
Thirty-six is also:
- The atomic number of krypton.
- On the piano, the total amount of black keys (for notes not on the C major scale).
- The code for direct dial international phone calls to Hungary.
- In the title of the movie 36 Fillette, starring Delphine Zentout and Oliver Parniere, directed by Catherine Breillat
- The Thirty-Six Strategies is a Chinese collection of 36 proverbs commented as militaristic tactics.
- Historical years: 36 A.D., 36 B.C., or 1936