Properties of the Number 72016

Seventy-Two Thousand Sixteen

Basics

Value: 72015 → 72016 → 72017

Parity: even

Prime: No

Previous Prime: 71999

Next Prime: 72019

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 7 × 643

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001100101010000

Octal: 214520

Duodecimal: 35814

Hexadecimal: 11950

Square: 5186304256

Square Root: 268.3579698835121

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

Principal diagonal of the convolution array A213844. A213845

G.f. A(x) satisfies: A(x) = (1 + x·A(x))*(1 + 2·x*A(x)) / (1 - x·A(x))². A341961

G.f. B(x) satisfies: B(x) = (1 - x²*B(x)²) / (1 - 2·x*B(x))². A341962

G.f. C(x) satisfies: C(x) = (1 - x·C(x))*(1 - 2·x*C(x)) / (1 - 3·x*C(x))². A341963

G.f. D(x) satisfies: D(x) = (1 + x·D(x))*(1 + 2·x*D(x))*(1 + 3·x*D(x)). A71878

Numbers k such that gcd(k, reverse(k)) = 27 = 3³, where reverse(x) = A004086(x). A72016

Reverse bits in blocks in binary expansion of n where blocks are separated by every second 1 bit starting from the most significant 1 bit as the first separator. A367307