Properties of the Number 10892

Ten Thousand Eight Hundred Ninety-Two

Basics

Value: 10891 → 10892 → 10893

Parity: even

Prime: No

Previous Prime: 10891

Next Prime: 10903

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 389

Divisors: 1, 2, 4, 7, 14, 28, 389, 778, 1556, 2723

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101010001100

Octal: 25214

Duodecimal: 6378

Hexadecimal: 2a8c

Square: 118635664

Square Root: 104.36474500519799

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 points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n² + 2. Also coordination sequence for f.c.c. or A₃ or D₃ lattice. A5901

Numbers k such that k²⁵⁶ + 1 is prime. A56995

Numbers n such that Bernoulli number B_n has denominator 870. A272185

a(n) = n*(14·n-3). A185019

G.f. equals the square root of P(4·x), where P(x) is the g.f. of the partition numbers (A000041). A271235

Partial sums of A294016. A294017

Number of integer partitions of n whose semi-sums do not cover an interval of positive integers. A367403

a(n) is the smallest number m such that n²^k + m²^k is prime for k=0,1,2,3 and 4. A90873

Number of partitions of n into "number of partitions of n into partition numbers" numbers. A130898

a(n) = 1·prime(n) + 2·prime(n-1) + ... + k·prime(n+1-k), where k=floor((n+1)/2) and prime(n) is the n-th prime. A23870