Properties of the Number 19540

Nineteen Thousand Five Hundred Forty

Basics

Value: 19539 → 19540 → 19541

Parity: even

Prime: No

Previous Prime: 19531

Next Prime: 19541

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 977

Divisors: 1, 2, 4, 5, 10, 20, 977, 1954, 3908, 4885

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110001010100

Octal: 46124

Duodecimal: B384

Hexadecimal: 4c54

Square: 381811600

Square Root: 139.7855500400524

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252334

T(n,k)=Number of nXk 0..3 arrays with every element neighboring horizontally or vertically both a 0 and a 1, and 2 introduced before 3 in row major order. A204301

27-gonal numbers: a(n) = n*(25·n-23)/2. A255186

G.f.: A(x) = INV(x - x·INV(x - x²*INV(x - x³*INV(x - x⁴*INV(x - ...))))), where INV(F(x)) = series reversion of F(x). A194956

Riordan array (1/sqrt(1-2·x-3·x²), 1/sqrt(1-2·x-3·x²) -1). A116392

Number of nX3 0..3 arrays with every element neighboring horizontally or vertically both a 0 and a 1, and 2 introduced before 3 in row major order. A204296

Number of (w,x,y) with all terms in {0,...,n} and w>floor((x+y)/3). A212974

a(n) = A068346(A276086(n)), where A068346 is the second arithmetic derivative, and A276086 is the primorial base exp-function. A370131

a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 10. A22324

Number of partitions of n having exactly one part with multiplicity 3. A118808