Properties of the Number -102528

One Hundred Two Thousand Five Hundred Twenty-Eight

Basics

Value: -102529 → -102528 → -102527

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ² × 89

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

9108 Try Today's Challenge

Representations

Binary: -11001000010000000

Octal: -310200

Duodecimal: -4B400

Hexadecimal: -19080

Square: 10511990784

Square Root: 320.199937539032

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

Coefficients in the expansion ∏_n>=1 (1-q^2n-1)²/(1-q²ⁿ)². A274621

T(n,k)=4-level binary fanout graph coloring a rectangular array: number of nXk 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 1,3 3,5 3,6 1,4 4,7 4,8 0,2 2,9 9,11 9,12 2,10 10,13 10,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223449

Number of bipartitions of n wherein odd parts are distinct (and even parts are unrestricted). A273225

G.f.: Limit_K->oo ∑_n=-oo..+oo x^n-K * (1 - xⁿ + n*(n+1)/6·x^n+K)ⁿ. A292177

Expansion of l.g.f. A(x) satisfying theta₄(x) = ∑_n=-oo..+oo xⁿ * (2·exp(A(x)) - xⁿ)^n-1 where theta₄(x) = ∑_n=-oo..+oo (-1)ⁿ * x^n² is a Jacobi θ function. A363568

Number of walks within N² (the first quadrant of Z²) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (0, 1), (1, -1)}. A151375

4-level binary fanout graph coloring a rectangular array: number of n X 2 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 1,3 3,5 3,6 1,4 4,7 4,8 0,2 2,9 9,11 9,12 2,10 10,13 10,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223443

4-level binary fanout graph coloring a rectangular array: number of n X 7 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 1,3 3,5 3,6 1,4 4,7 4,8 0,2 2,9 9,11 9,12 2,10 10,13 10,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223448

a(n) is the sum of the base-b representations of n for 2 <= b <= n+1 read in base ten. A289335

Expansion of e.g.f.: sin(sinh(x)*log(x+1))=2/2!*x²-3/3!*x³+12/4!*x⁴-40/5!*x⁵... A12510