Properties of the Number 27490

Twenty-Seven Thousand Four Hundred Ninety

Basics

Value: 27489 → 27490 → 27491

Parity: even

Prime: No

Previous Prime: 27487

Next Prime: 27509

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 2749

Divisors: 1, 2, 5, 10, 2749, 5498, 13745, 27490

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101101100010

Octal: 65542

Duodecimal: 13AAA

Hexadecimal: 6b62

Square: 755700100

Square Root: 165.8010856418015

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

a(n) = ∑_{k=0..floor(2·n/5)} binomial(k,2·n-5·k). A391265

Expansion of 1 / ((1-x)⁵ - x⁶). A390045

Number of compositions of 6·n-2 into parts 5 and 6. A373962

a(n) = ∑_{k=0..floor(3·n/5)} binomial(k+2,3·n-5·k). A390034

Numbers k such that the continued fraction for sqrt(k) has period 69. A20408

Number of (7+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253704

Number of 4 X n binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing. A266937

Floor((n-1)!/[n(n+1)]). A143357

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253698

Second column of Triangle A027478, constructed from the Stirling numbers of the first kind. A27490