Properties of the Number 72640

Seventy-Two Thousand Six Hundred Forty

Basics

Value: 72639 → 72640 → 72641

Parity: even

Prime: No

Previous Prime: 72623

Next Prime: 72643

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 5 × 227

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101111000000

Octal: 215700

Duodecimal: 36054

Hexadecimal: 11bc0

Square: 5276569600

Square Root: 269.5180884467683

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 (n+1) X (k+1) white-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231131

Number of words of length n over an infinite alphabet such that for any letter k appearing within a word the letter k appears at least k times and exactly one of each kind of letter is marked. A386255

Triangle T(n,k) with the real part of [x^k] of the series (1-x)ⁿ⁺¹* ∑_{j=0..infinity} (2·j+1+i)ⁿ*x^j in row n, column k. A179068

Number of (n+1) X (2+1) white-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231125

Numbers k such that Bernoulli number B_k has denominator 230010. A295593

Triangle T(n, k, m) = coefficients of p(x, n, m) where p(x,n,m) = (x+1)*p(x, n-1, m) + 2^m+n-1 *x·p(x, n-2, m) and m=2, read by rows. A154979

Maximum position in A072660 where the value n occurs. A72640

Number of length n+2 0..7 arrays with the medians of every three consecutive terms nondecreasing. A250139

Number of length n+2 0..3 arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A251423