Properties of the Number 89120

Eighty-Nine Thousand One Hundred Twenty

Basics

Value: 89119 → 89120 → 89121

Parity: even

Prime: No

Previous Prime: 89119

Next Prime: 89123

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 5 × 557

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101110000100000

Octal: 256040

Duodecimal: 436A8

Hexadecimal: 15c20

Square: 7942374400

Square Root: 298.52973051272465

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

G.f. satisfies: A(x/A(x)) = 1 + x·A(x). A145345

Number of (n+2)X(6+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically. A253508

Number of partitions of n minus the number of primes <= n. A183151

Smallest prime factor of n² + 1. A89120

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically. A253510

G.f. A(x) satisfies A( x*(1+x)/A(x)² ) = 1 + x. A383563

G.f. satisfies: x = A(x) - A(A(x))² - A(A(A(x)))³. A177395

Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A305681