420 (number)
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|---|---|---|---|---|
| Cardinal | four hundred twenty | |||
| Ordinal | 420th (four hundred twentieth) | |||
| Factorization | 22 × 3 × 5 × 7 | |||
| Greek numeral | ΥΚ´ | |||
| Roman numeral | CDXX, cdxx | |||
| Binary | 1101001002 | |||
| Ternary | 1201203 | |||
| Senary | 15406 | |||
| Octal | 6448 | |||
| Duodecimal | 2B012 | |||
| Hexadecimal | 1A416 | |||
420 (four hundred [and] twenty) is the natural number following 419 and preceding 421.
In mathematics
420 is:
- the sum of four consecutive primes ().
- 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 least common multiple of numbers from 1 through 7;[4] 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.[5]
- largely composite number[6]
In other fields
- The international country code for Czech Republic.
- 420 (pronounced four-twenty) is also cannabis culture slang for cannabis consumption.
References
- ^ Sloane, N. J. A. (ed.). "Sequence A028442 (Numbers n such that Mertens' function is zero)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A036913 (Sparsely totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "A003418 - OEIS". oeis.org. Retrieved 2024-11-20.
- ^ Sloane, N. J. A. (ed.). "Sequence A020492 (Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A067128 (Ramanujan's largely composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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