Properties of the Number 83720

Eighty-Three Thousand Seven Hundred Twenty

Basics

Value: 83719 → 83720 → 83721

Parity: even

Prime: No

Previous Prime: 83719

Next Prime: 83737

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 × 7 × 13 × 23

Divisors: 1, 2, 4, 5, 7, 8, 10, 13, 14, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011100001000

Octal: 243410

Duodecimal: 40548

Hexadecimal: 14708

Square: 7009038400

Square Root: 289.3440858217081

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

Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] ∏_m=1..n (x - m - r), with r = 7. A51379

Amicable triples: numbers such that σ(x) = σ(y) = σ(z) = x+y+z, x<y<z. We order these triples according to the common value of σ. Sequence gives y numbers. A125491

Numbers k such that k and k+1 have at least 4 but not both exactly 4 distinct prime factors. A321494

Triangle T(n,k) giving coefficients in expansion of n!*binomial(x-n,n) in powers of x. A54655

Sums of the products of n consecutive pairs of numbers. A135036

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero. A205198

a(n) = ∑_{1 <= i <= j <= k <= m <= n} gcd(i,j,k,m). A344992

Numbers k such that σ(k+1) = 5*φ(k). A67263

GCD of A002443(n) and A002444(n), numerator and denominator in Feinler's formula for the Bernoulli number B_2n. A266911

a(n) is the least practical number A005153(k) such that A005153(k+1) - A005153(k) = 2·n, or -1 if no such number exists. A364707