Properties of the Number 20768

Twenty Thousand Seven Hundred Sixty-Eight

Basics

Value: 20767 → 20768 → 20769

Parity: even

Prime: No

Previous Prime: 20759

Next Prime: 20771

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 11 × 59

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 59

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000100100000

Octal: 50440

Duodecimal: 10028

Hexadecimal: 5120

Square: 431309824

Square Root: 144.11106827721457

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 partitions of n such that (greatest part) + (least part) <= number of parts. A237823

a(n) = 81·n² + 2·n. A177099

a(n) = ∑_{i∣n, j∣n, k∣n} i·j*k/lcm(i,j,k). A344135

Group successively larger composite numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum of the terms in the n-th group. A74120

a(n) = number of primes < n⁴. A380331

Least term in period of continued fraction for sqrt(n) is 9. A31433

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 1, 1), (1, 0, 0), (1, 1, -1)}. A148268

Value of concatenation of all suffixes of binary representation of n. A241426

Numbers n such that n!3 + 3⁶ is prime. A247467

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