Properties of the Number 26664

Twenty-Six Thousand Six Hundred Sixty-Four

Basics

Value: 26663 → 26664 → 26665

Parity: even

Prime: No

Previous Prime: 26647

Next Prime: 26669

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 11 × 101

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100000101000

Octal: 64050

Duodecimal: 13520

Hexadecimal: 6828

Square: 710968896

Square Root: 163.29115101560157

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

Number of palindromic divisors of a(n) sets a new record. A93036

a(n) is the least number with n palindromic divisors. A87997

Integers whose number of repdigit divisors sets a new record. A340548

Smallest base b > 1 such that both prime(n) and prime(n+1) are base-b Wieferich primes, i.e., p = prime(n) satisfies b^p-1 == 1 (mod p²) and q = prime(n+1) satisfies b^q-1 == 1 (mod q²). A259075

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements less than the maximum of its antidiagonal elements. A251308

a(n) = S1(n,3), where S1(n, t) = ∑_k=0..n (k^t * ∑_j=0..k binomial(n,j)). A89660

a(n) is the smallest number that has exactly n repdigit divisors. A355699

Numbers n such that (φ(n) + 1) | σ(n + 1), where φ is Euler's totient function A000010. A15775

Decimal concatenations of the 38 quintuples (d1,d2,d3,d4,d5) with elements in {2,4,6} for which there exists a prime p >= 7 such that the differences between the 6 consecutive primes starting with p are (d1,d2,d3,d4,d5). A78870

a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3). A26040