Properties of the Number 180

One Hundred Eighty

Basics

Value: 179 → 180 → 181

Parity: even

Prime: No

Previous Prime: 179

Next Prime: 181

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110100

Octal: 264

Duodecimal: 130

Hexadecimal: b4

Square: 32400

Square Root: 13.416407864998739

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

Abundant numbers (sum of divisors of m exceeds 2m). A5101

Highly composite numbers: numbers n where d(n), the number of divisors of n (A000005), increases to a record. A2182

Average of twin prime pairs. A14574

List of totally balanced sequences of 2n binary digits written in base 10. Binary expansion of each term contains n 0's and n 1's and reading from left to right (the most significant to the least significant bit), the number of 0's never exceeds the number of 1's. A14486

a(n) = prime(n) - 1. A6093

Niven (or Harshad, or harshad) numbers: numbers that are divisible by the sum of their digits. A5349

Numbers all of whose prime divisors are consecutive primes starting at 2. A55932

Positive integers which are neither squarefree integers nor prime powers. A126706

Smallest number with exactly n divisors. A5179

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