Properties of the Number 26480

Twenty-Six Thousand Four Hundred Eighty

Basics

Value: 26479 → 26480 → 26481

Parity: even

Prime: No

Previous Prime: 26479

Next Prime: 26489

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 5 × 331

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011101110000

Octal: 63560

Duodecimal: 133A8

Hexadecimal: 6770

Square: 701190400

Square Root: 162.72676485446394

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

Triangle T(n,k), read by rows: coefficients for numerical integration near a singularity (n >= 0 and 0 <= k <= n). A324124

Total number of covered falling diagonals in all n X n permutation matrices. A306455

Triangular array read by rows: T(n, k) = number of occurrences of 2k as a sum |1 - p(1)| + |2 - p(2)| + ... + |n - p(n)|, where (p(1), p(2), ..., p(n)) ranges through the permutations of (1,2,...,n), for n >= 1, 0 <= k <= n-1. A357329

Expansion of f(q)*f(q⁷)/(f(-q)*f(-q⁷)) in powers of q where f() is a Ramanujan θ function. A123862

Arithmetic derivative of (prime(n)+1)*(prime(n+1)+1)/4. A79094

Numbers n such that 2·10ⁿ + 6·R_n + 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A102957

a(n) is the largest number t such that there exist numbers i,j,k such that, for all m <= t, there exist integers x,y,z with x·i + y·j + z·k = m and |x|+|y|+|z| <= n. A383579

Products of distinct numbers in A052963. A274453

a(n) is the largest number that can be expressed as the sum of three triangular numbers in exactly n ways. A330810

a(n) is the largest number that can be expressed as the sum of three positive triangular numbers in exactly n ways. A330811