Properties of the Number 11389

Eleven Thousand Three Hundred Eighty-Nine

Basics

Value: 11388 → 11389 → 11390

Parity: odd

Prime: No

Previous Prime: 11383

Next Prime: 11393

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 1627

Divisors: 1, 7, 1627, 11389

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110001111101

Octal: 26175

Duodecimal: 6711

Hexadecimal: 2c7d

Square: 129709321

Square Root: 106.71925786848408

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

Array read by antidiagonals upwards: h(n,k) = number of sequences with n copies each of 1,2,...,k and longest increasing subsequence of length k (n>=1, k>=1). A47909

Number of digits in A110780(n). A110781

a(n) = (2n)! * ∑_k=0..n (-1)^k * binomial(n,k) / (n+k)!. A6902

a(n) is the number of patterns for n-character papaya words in an infinite alphabet. A165137

Smallest k such that k² + 1 is divisible by A002144(n)³. A145296

a(n) is smallest number such that a(n)² + 1 is divisible by 41ⁿ. A218714

Number T(n,k) of words on {1,1,2,2,...,n,n} with longest increasing subsequence of length k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A267480

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 7/5. A279779

Bases b for which there exists an integer y such that y³ in base b looks like [c,d,c,d] for some base-b digits c, d. A290176

The number of partitions of n without repeated odd parts having more even parts than odd parts. A340623