Properties of the Number 40740

Forty Thousand Seven Hundred Forty

Basics

Value: 40739 → 40740 → 40741

Parity: even

Prime: No

Previous Prime: 40739

Next Prime: 40751

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 7 × 97

Divisors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111100100100

Octal: 117444

Duodecimal: 1B6B0

Hexadecimal: 9f24

Square: 1659747600

Square Root: 201.84152199188352

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

T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms. A249883

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=9. A135194

A partition product of Stirling₁ type [parameter k = 4] with biggest-part statistic (triangle read by rows). A157394

Triangle formed from coefficients of the polynomials p(1)=x, p(n+1) = (n + x*(n+1))*p(n) + x·x*(d/dx)p(n). A75856

Coefficients of a set of polynomials associated with the derivatives of x^x. A185164

Triangle read by rows: rows = inverse binomial transforms of columns of A309220. A118980

Numbers k such that the powerful part of the sum of divisors of k (A387726) is greater than or equal to k, and σ(k) is not itself a powerful number. A387729

Number of nonsquare divisors of n!. A56596

An eighth of the product of three integers surrounding the (n+1)-st prime, minus half of the product of the 3 numbers surrounding n+1. A141535

Number of n X 7 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically. A208378