Properties of the Number 79120

Seventy-Nine Thousand One Hundred Twenty

Basics

Value: 79119 → 79120 → 79121

Parity: even

Prime: No

Previous Prime: 79111

Next Prime: 79133

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 5 × 23 × 43

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 23, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010100010000

Octal: 232420

Duodecimal: 39954

Hexadecimal: 13510

Square: 6259974400

Square Root: 281.28277586798663

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

The denominators of Zagier's modification of the Bernoulli numbers. A216923

Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w<R, x<R, y>R, z>R, where R = max{w,x,y,z} - min{w,x,y,z}. A212753

G.f. A(x) satisfies: 4ⁿ/2 = ∑_k=0..n [x^k]A(x)ⁿ and also satisfies: ((4+z)ⁿ + zⁿ)/2 = ∑_k=0..n [x^k](A(x)+z·x)ⁿ for all z, where [x^k]A(x)ⁿ denotes the coefficient of x^k in A(x)ⁿ. A100240

Number of words of length n, over the alphabet {a,b,c}, which have an odd number of a's and the number of b's plus the number of c's is less than or equal to 3. A342159

Finite sum involving signless Stirling numbers of the first kind and the Bell numbers. Appears in the process of normal ordering of n-th power of (a)⁴*(a+*a), where a+ and a are boson creation and annihilation operators, respectively. A121631

a(n) = floor(1/(n-1) * ∑_k=1..n-1 a(k)^n/k), given a(0)=1, a(1)=3, a(2)=7. A79120

Number of squares in all tilings of a 7 X n rectangle using integer-sided square tiles. A226550