420 (number)
For other uses, see 420 (disambiguation).
| ||||
|---|---|---|---|---|
| Cardinal | four hundred twenty | |||
| Ordinal |
420th (four hundred and twentieth) | |||
| Factorization | 22× 3 × 5 × 7 | |||
| Roman numeral | CDXX | |||
| Binary | 1101001002 | |||
| Ternary | 1201203 | |||
| Quaternary | 122104 | |||
| Quinary | 31405 | |||
| Senary | 15406 | |||
| Octal | 6448 | |||
| Duodecimal | 2B012 | |||
| Hexadecimal | 1A416 | |||
| Vigesimal | 11020 | |||
| Base 36 | BO36 | |||
420 is the natural number following 419 and preceding 421.
420 is the sum of four consecutive primes (101 + 103 + 107 + 109). 420 is a zero of the Mertens function[1] and is sparsely totient.[2] It is a pronic number,[3] and the smallest number divisible by the numbers 1 to 7, and as a consequence of that it is a Harshad number in every base from 2 to 10 except base 5. It is a 141-gonal number.
References
- ↑ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- ↑ "Sloane's A036913 : Sparsely totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- ↑ "Sloane's A002378 : Oblong (or promic, pronic, or heteromecic) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
This article is issued from Wikipedia - version of the 11/14/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.