Properties of the Number 27405

Twenty-Seven Thousand Four Hundred Five

Basics

Value: 27404 → 27405 → 27406

Parity: odd

Prime: No

Previous Prime: 27397

Next Prime: 27407

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 7 × 29

Divisors: 1, 3, 5, 7, 9, 15, 21, 27, 29, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 110101100001101

Octal: 65415

Duodecimal: 13A39

Hexadecimal: 6b0d

Square: 751034025

Square Root: 165.54455593585675

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

Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24. A332

Odd infinitary abundant numbers. A127666

a(n) = the least integer that is polygonal in exactly n ways. A63778

Odd bi-unitary abundant numbers: odd numbers k such that bsigma(k) > 2·k, where bsigma is the sum of the bi-unitary divisors function (A188999). A293186

Triangle, read by rows, where T(n,k) = C(n*(n-1)/2 - k*(k-1)/2 + n-k, n-k). A107862

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

Number of compositions of n into 5 ordered relatively prime parts. A743

Binomial coefficients C(2·n+4,4). A53134

Numbers k such that A206369(k) = A206369(k + 1). A206368

Expansion of x*(1+4·x)/(1-x-25·x²). A122995