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Properties of the Number 40770

Forty Thousand Seven Hundred Seventy

Basics

Value: 40769 → 40770 → 40771

Parity: even

Prime: No

Previous Prime: 40763

Next Prime: 40771

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 3 × 5 × 151

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111101000010

Octal: 117502

Duodecimal: 1B716

Hexadecimal: 9f42

Square: 1662192900

Square Root: 201.91582404556607

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 read by rows: T(n, k) = number of inequivalent (mod the dihedral group D8 of order 8) ways to place k nonattacking knights on an n X n board. A243716
Number of (undirected) Hamiltonian paths on the first n cells of the 6 X ceiling(n/6) knight graph. A389756
Number of unlabeled 7-gonal cacti having n polygons. A54371
Number of (undirected) Hamiltonian paths on the first n cells of the 5 X ceiling(n/5) knight graph. A389755
a(n) is the number of binary strings of length n such that no subsequence of length 5 or less contains 4 or more ones. A125513
a(n) = (3/8)*(n-1)*(n-2)*(27·n2-137·n+180). A134176
Number of (n+2) X (2+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252855
Number of nonnegative integers with property that their base 10/3 expansion (see A024658) has n digits. A245428
Array read by antidiagonals: T(n,k) is the number of noncrossing partitions up to rotation composed of n blocks of size k. A303694
T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252861