Properties of the Number 67830

Sixty-Seven Thousand Eight Hundred Thirty

Basics

Value: 67829 → 67830 → 67831

Parity: even

Prime: No

Previous Prime: 67829

Next Prime: 67843

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 7 × 17 × 19

Divisors: 1, 2, 3, 5, 6, 7, 10, 14, 15, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100011110110

Octal: 204366

Duodecimal: 33306

Hexadecimal: 108f6

Square: 4600908900

Square Root: 260.44193210771573

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

Products of exactly 6 distinct primes. A67885

Triangle of coefficients of square of Hermite polynomials divided by 2ⁿ with argument sqrt(x/2). A111595

Numbers with six distinct prime divisors. A74969

Number of n-node ordered rooted trees of height equal to the number of internal (non-leaf) nodes. A358588

Numbers k such that usigma(k) >= 3·k, where usigma(k) = sum of unitary divisors of k (A034448). A285615

Largest squarefree number that divides A077175(n). A77176

Largest squarefree number that divides A101177(n). A101178

Numbers n such that σ(n) = 15*φ(n) (where σ=A000203, φ=A000010). A171260

Expansion of (1/x) * Series_Reversion( x*(1+x)²*(1-x)⁴ ). A365855

Expansion of 1/(1-4·x)^15/2. A20926