Properties of the Number 26400

Twenty-Six Thousand Four Hundred

Basics

Value: 26399 → 26400 → 26401

Parity: even

Prime: No

Previous Prime: 26399

Next Prime: 26407

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 ² × 11

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110011100100000

Octal: 63440

Duodecimal: 13340

Hexadecimal: 6720

Square: 696960000

Square Root: 162.48076809271922

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

Irregular triangle T(n,k) read by rows: T(n,k) is the number of compositions of n with k descents, n>=0, 0<=k<=floor(n/3). A238344

a(n) = φ(9ⁿ-1), where φ is Euler's totient function (A000010). A366663

a(n) = φ(3ⁿ-1), where φ is Euler's totient function (A000010). A295500

Sheffer triangle S2[4,1] = (exp(x), exp(4·x) - 1). A285061

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 101 in rows and columns. A202202

Denominator of the sum of inverse products of parts in all partitions of n. A322365

Numbers m such that the smallest digit in the decimal expansion of 1/m is 3, ignoring leading and trailing 0's. A352157

Square array A(n,k) = A326128(A388981(n, k)), read by descending antidiagonals. A388988

a(n) = 10*(n+1)*binomial(n+3,5)/3. A27790

Expansion of e.g.f. x·exp(5·x)*cosh(x). A82136