Properties of the Number 73152

Seventy-Three Thousand One Hundred Fifty-Two

Basics

Value: 73151 → 73152 → 73153

Parity: even

Prime: No

Previous Prime: 73141

Next Prime: 73181

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ² × 127

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110111000000

Octal: 216700

Duodecimal: 36400

Hexadecimal: 11dc0

Square: 5351215104

Square Root: 270.46626407003146

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 ways to choose n positive integers less than or equal to 2n such that none of the n integers divides another. A174094

Numbers k for which σ(k)/k - 8/9 is an integer. A218418

Numbers which can written in exactly four ways as a sum of two distinct nonzero pentagonal numbers. A333014

a(n) = ∑_k=0..n (k+1) * 2^k * binomial(2·k,2*(n-k)). A390700

Numbers n with the property that it is possible to write the base 2 expansion of n as concat(a₂,b₂), with a₂>0 and b₂>0 such that, converting a₂ and b₂ to base 10 as a and b, we have σ(a)*σ(b) = n. A244079

a(n) = n! * [xⁿ] exp(n·sinh(x)). A293022

The number of sets of n positive integers strictly less than 2·n such that no integer in the set divides another. A192298

G.f. A(x) satisfies: A( A(x)² - x·A(x) ) = x³. A272411

Totients t such that the number of divisors of t equals the number of solutions of φ(x) = t. A305058

Numbers m that divide σ(σ(m) - m) where σ is the sum of divisors function (A000203). A300658