Properties of the Number 27400

Twenty-Seven Thousand Four Hundred

Basics

Value: 27399 → 27400 → 27401

Parity: even

Prime: No

Previous Prime: 27397

Next Prime: 27407

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5 ² × 137

Divisors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101100001000

Octal: 65410

Duodecimal: 13A34

Hexadecimal: 6b08

Square: 750760000

Square Root: 165.5294535724685

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 k such that lcm(1,2,3,...,k)/13 equals the denominator of the k-th harmonic number H(k). A112818

Triangular array generated by its row sums: T(n,0) = 1 for n >= 0, T(n,1) = r(n-1), T(n,k) = T(n,k-1) - (-1)^k * r(n-k) for k = 2, 3, ..., n, n >= 2, r(h) = sum of the numbers in row h of T. A54090

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases. A206206

Row sums of A054090. A54091

a(n) = n*(n+1)*(11·n +10)/6. A254407

Number of multiples of n which have only distinct and nonzero digits in base 10. A328287

Molien series for invariants of finite Coxeter group A₁₁. A266780

Numbers m > 0 that have a divisor d > 1 with binomial(m+d, d) == 1 mod m. A290040

Row sums of array A097306. A97307

Number of binary strings of length n with no substrings equal to 0001 0101 or 1110. A164475