Properties of the Number 87780

Eighty-Seven Thousand Seven Hundred Eighty

Basics

Value: 87779 → 87780 → 87781

Parity: even

Prime: No

Previous Prime: 87767

Next Prime: 87793

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 7 × 11 × 19

Divisors: 1, 2, 3, 4, 5, 6, 7, 10, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10101011011100100

Octal: 253344

Duodecimal: 42970

Hexadecimal: 156e4

Square: 7705328400

Square Root: 296.27689751312033

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 with six distinct prime divisors. A74969

a(n) = n*(n + 1)*(n + 2)*(n + 3)/2. A33486

a(n) = n*(2·n-1)*(2·n+1). A35328

a(n) = binomial(2·n, n) mod ((n+1)*(n+2)*(n+3)*(n+4)). A65346

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-1,-1) (-2,0) or (0,-2) and new values introduced in order 0..2. A274959

Triangle where g.f. S = S(x,m) satisfies: S = x/(G(-S²)*G(-m·S²)) such that G(x) = 1 + x·G(x)² is the g.f. of the Catalan numbers (A000108), as read by rows of coefficients T(n,k) of x^2·n-1*m^k in S(x,m) for n>=1, k=0..n-1. A278880

a(n) = the smallest positive integer that, when written in binary, contains both binary n and binary n² as substrings. A165820

Numbers k such that both k and k² are sums of a twin prime pair. A213784

Numbers with prime factorization pqrstu². A189985

Denominators of the partial sums of the reciprocals of (k+1)*(4·k+3) = A033991(k+1), for k >= 0. A294517