Properties of the Number 420

Four Hundred Twenty

Basics

Value: 419 → 420 → 421

Parity: even

Prime: No

Previous Prime: 419

Next Prime: 421

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100100

Octal: 644

Duodecimal: 2B0

Hexadecimal: 1a4

Square: 176400

Square Root: 20.493901531919196

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1). A2378

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n²/4). A2620

Average of twin prime pairs. A14574

Least common multiple (or LCM) of {1, 2, ..., n} for n >= 1, a(0) = 1. A3418

Numbers all of whose prime divisors are consecutive primes starting at 2. A55932

4 times triangular numbers: a(n) = 2·n*(n+1). A46092

Sum of all parts of all partitions of n. A66186

n written in primorial base. A49345

Primorial inflation of n: Fully multiplicative with a(p) = p# for prime p, where x# is the primorial A034386(x). A108951

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