Properties of the Number 90902

Ninety Thousand Nine Hundred Two

Basics

Value: 90901 → 90902 → 90903

Parity: even

Prime: No

Previous Prime: 90901

Next Prime: 90907

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 7 × 43 × 151

Divisors: 1, 2, 7, 14, 43, 86, 151, 301, 302, 602

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10110001100010110

Octal: 261426

Duodecimal: 44732

Hexadecimal: 16316

Square: 8263173604

Square Root: 301.49958540601676

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

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{φ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{σ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A244069

a(n) = (9·n+4)*(9·n+5). A177073

a(n) = (A022010(n) - 179)/210. A357889

a(n) = floor((product of first n triangular numbers)/(sum of first n factorials)). A90902