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420 (number)

From Wikipedia, the free encyclopedia
419 420 421
Cardinalfour hundred twenty
Ordinal420th
(four hundred twentieth)
Factorization22 × 3 × 5 × 7
Greek numeralΥΚ´
Roman numeralCDXX, cdxx
Binary1101001002
Ternary1201203
Senary15406
Octal6448
Duodecimal2B012
Hexadecimal1A416

420 (four hundred [and] twenty) is the natural number following 419 and preceding 421.

In mathematics

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420 is a zero of the Mertens function,[1] a sparsely totient[2] number, a pronic number,[3] a balanced number,[4] and a largely composite number.[5]

In other fields

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420 (pronounced four-twenty) is also cannabis culture slang for cannabis consumption.[6]

References

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  1. Sloane, N. J. A. (ed.). "Sequence A028442 (Numbers n such that Mertens' function is zero)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "Sequence A036913 (Sparsely totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. 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.
  5. Sloane, N. J. A. (ed.). "Sequence A067128 (Ramanujan's largely composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. "Stoner Chic Traces Origin To San Rafael – Snickering high schoolers brought '420' into lexicon". San Francisco Chronicle. April 20, 2000. Archived from the original on May 27, 2012. Retrieved April 4, 2012.