Properties of the Number 10770

Ten Thousand Seven Hundred Seventy

Basics

Value: 10769 → 10770 → 10771

Parity: even

Prime: No

Previous Prime: 10753

Next Prime: 10771

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 359

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 359, 718

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101000010010

Octal: 25022

Duodecimal: 6296

Hexadecimal: 2a12

Square: 115992900

Square Root: 103.77861051295686

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 subsets S of {1,2,...,n} which contain a number that is greater than the sum of the other numbers in S. A95944

T(n,k) = Number of n X k 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281080

Expansion of ∏_k>=1 (1 + x^k * (1 + k·x)). A336980

Numbers n for which n' + n and n' - n are both prime, n' being the arithmetic derivative of n. A229272

a(n) = 384·4ⁿ - 576·3ⁿ + 220·2ⁿ - 14. A305862

Table of elementary symmetric functions a_k(1,2,5,6,...,n+2) (no 3,4). A196846

Denominators of Bernoulli numbers which are == 6 (mod 9). A218755

Inverse binomial transform of A120070. A141615

Number of n X 2 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281074

Array read by ascending antidiagonals: A(n, k) = n!*[xⁿ] Li(-k, 1 - exp(-4·x))/(4·sinh(x)), where Li(n, z) is the polylogarithm function. A345394