Properties of the Number 9120

Nine Thousand One Hundred Twenty

Basics

Value: 9119 → 9120 → 9121

Parity: even

Prime: No

Previous Prime: 9109

Next Prime: 9127

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 19

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10001110100000

Octal: 21640

Duodecimal: 5340

Hexadecimal: 23a0

Square: 83174400

Square Root: 95.49869109050658

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

Numbers n such that n = product (p_k)^c_k and set of its (c_k k's)'s is a self-conjugate partition, where p_k is k-th prime and c_k > 0. A88902

Pairs (j, k) of numbers j<k such that φ(j) = φ(k), σ(j) = σ(k), d(j) = d(k). A134922

Strongly refactorable numbers: numbers n such that if n is divisible by d, it is divisible by the number of divisors of d. A141586

Numbers that can be expressed as the difference of the squares of primes in exactly four distinct ways. A92000

Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31173

If X₁, ..., X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of X_i, (i=1,...,n). A130809

Largest possible z-value of an integer solution (x,y,z) to 4/n = 1/x + 1/y + 1/z satisfying 0 < x < y < z. The·and y components are in A075245 and A075246. A75247

T(n,k)=Number of length n+2 0..k arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A251428

6 times pentagonal numbers: a(n) = 3·n*(3·n-1). A152743

8-almost primes p·q*r·s*t·u*v·w relatively prime to p+q+r+s+t+u+v+w. A110296