Properties of the Number 19089

Nineteen Thousand Eighty-Nine

Basics

Value: 19088 → 19089 → 19090

Parity: odd

Prime: No

Previous Prime: 19087

Next Prime: 19121

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 101

Divisors: 1, 3, 7, 9, 21, 27, 63, 101, 189, 303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101010010001

Octal: 45221

Duodecimal: B069

Hexadecimal: 4a91

Square: 364389921

Square Root: 138.16294727603346

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

Numbers k such that σ(k) = σ(k+6). A15866

Numbers k such that 5^k - 4 is prime. A59613

T(n,k)=Number of nXk 0..1 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A281955

Dirichlet convolution of the integer partition numbers A000041 with the number of divisors function A000005. A323766

Dirichlet g.f.: ∏_k>=2 (1 + k^-s)^k². A343322

Dimensions of the Jordan operad. A1776

Expansion of e.g.f. theta₃^-9/2. A15685

Number of maximal classes determined by permutations. A246069

Expansion of (1/x) * Series_Reversion( x/(x+1/(1+x³)) ). A370837

Numbers n which are concatenations n=x//y such that x²+y³ is a multiple of n. A162464