420 (number)
From HandWiki
Short description: Natural number
| ||||
---|---|---|---|---|
Cardinal | four hundred twenty | |||
Ordinal | 420th (four hundred twentieth) | |||
Factorization | 22 × 3 × 5 × 7 | |||
Greek numeral | ΥΚ´ | |||
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 (four hundred [and] twenty) is the natural number following 419 and preceding 421.
In mathematics
420 is:
- the sum of four consecutive primes ([math]\displaystyle{ 101+103+107+109 }[/math]).
- the sum of the first twenty positive even numbers.
- a zero of the Mertens function[1] and is sparsely totient.[2]
- a pronic number.[3]
- the smallest number divisible by the numbers 1 to 7; as a consequence of that, it is a Harshad number in bases 2 to 10, except in base 5.
- a 141-gonal number.
- a balanced number.[4]
In other fields
- 420 is a slang term that refers to the consumption of cannabis. April 20th is commonly celebrated as a holiday dedicated to the drug, due to the numerical form of the day being 4/20.
- 420 is the country calling code for Czech Republic.
References
- ↑ "Sloane's A028442 : Numbers n such that Mertens' function is zero". OEIS Foundation. https://oeis.org/A028442.
- ↑ "Sloane's A036913 : Sparsely totient numbers". OEIS Foundation. https://oeis.org/A036913.
- ↑ "Sloane's A002378 : Oblong (or promic, pronic, or heteromecic) numbers". OEIS Foundation. https://oeis.org/A002378.
- ↑ Sloane, N. J. A., ed. "Sequence A020492 (Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203))". OEIS Foundation. https://oeis.org/A020492.
![]() | Original source: https://en.wikipedia.org/wiki/420 (number).
Read more |