Properties of the Number 19189

Nineteen Thousand One Hundred Eighty-Nine

Basics

Value: 19188 → 19189 → 19190

Parity: odd

Prime: No

Previous Prime: 19183

Next Prime: 19207

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 31 × 619

Divisors: 1, 31, 619, 19189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101011110101

Octal: 45365

Duodecimal: B131

Hexadecimal: 4af5

Square: 368217721

Square Root: 138.52436608770313

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

Number of unique X-rays of n X n binary matrices with exactly n ones. A290133

Numbers k such that A276086(k) is a multiple of A003415(k) and A276087(k) is a multiple of A327859(k). A393071

Expansion of ∏_k>=0 1/(1 - x^k+1)^A001156(k). A45842

a(n) = T(p(n)) - p(T(n)) = Commutator[triangular numbers, primes] at n. A123907

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 0110-1111 pattern in any orientation. A146385

Triangle, read by rows, where T(n,k) equals the least m>0 that produces the maximum number of partial quotients in the simple continued fraction expansion of (1/n + 1/k + 1/m). A91943

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTT = ZSM-23 Nan[AlnSi24-nO48] starting with a T4 atom. A19189