Properties of the Number 19500

Nineteen Thousand Five Hundred

Basics

Value: 19499 → 19500 → 19501

Parity: even

Prime: No

Previous Prime: 19489

Next Prime: 19501

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 ³ × 13

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 13, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100110000101100

Octal: 46054

Duodecimal: B350

Hexadecimal: 4c2c

Square: 380250000

Square Root: 139.64240043768942

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

Low-temperature magnetization expansion for square lattice (Potts model, q=3). A57374

Number of polybricks: number of ways to arrange n 1 X 2 "bricks" in a wall (see illustrations). A57973

a(n) = (n-1)*(n+4)*(n+6)/6 for n > 1, a(1)=1. A137742

Consider coefficients U(m,L,k) defined by the identity ∑_k=1..L ∑_j=0..m A302971(m,j)/A304042(m,j) * k^j * (T-k)^j = ∑_k=0..m (-1)^m-k * U(m,L,k) * T^k that holds for all positive integers L,m,T. This sequence gives 3-column table read by rows, where the n-th row lists coefficients U(2,n,k) for k = 0, 1, 2; n >= 1. A316349

Number of permutations of n distinct letters (ABCD...) each of which appears 5 times and having n-2 fixed points. A123296

a(n) = ∏_{d∣n, d>1} prime(A304101(d)-1). A304104

Triangle read by rows: the coefficient [x^k] of the polynomial ∏_i=1..n (5^i-1-x) in row n, column k, 0 <= k <= n. A157832

a(n) = ∑_d∣n Moebius(n/d)*d^b-1/φ(n) for b = 5. A160891

a(n) = (2·n+1)*(7·n+1). A33572

Sums of 4 distinct powers of 5. A38476