Properties of the Number 70192

Seventy Thousand One Hundred Ninety-Two

Basics

Value: 70191 → 70192 → 70193

Parity: even

Prime: No

Previous Prime: 70183

Next Prime: 70199

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 41 × 107

Divisors: 1, 2, 4, 8, 16, 41, 82, 107, 164, 214

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001001000110000

Octal: 211060

Duodecimal: 34754

Hexadecimal: 11230

Square: 4926916864

Square Root: 264.9377285325742

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

T(n,k)=Number of nXk 0..2 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other. A201432

Total number of consecutive triples matching the pattern 132 in all faro permutations of length n. A340568

G.f. satisfies: A(x) = exp( ∑_n>=1 σ(n)*A(xⁿ)*xⁿ/n ). A179467

Number of nX3 0..2 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other. A201427

Row sums of A370942: a(n) is the total number of nonempty, longest nonoverlapping properly nested substrings among all strings of parentheses of length n. A370943

Number of nX7 0..2 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other. A201431

Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3. A70192