Properties of the Number 1080

One Thousand Eighty

Basics

Value: 1079 → 1080 → 1081

Parity: even

Prime: No

Previous Prime: 1069

Next Prime: 1087

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 5

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000111000

Octal: 2070

Duodecimal: 760

Hexadecimal: 438

Square: 1166400

Square Root: 32.863353450309965

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

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318

a(n) = n*(n+3)/2. A96

a(n) = smallest integer with factorization as Product p(i)^e(i) such that Product p(e(i)) = n. A181821

Antisigma(n): Sum of the numbers less than n that do not divide n. A24816

a(n) = n*φ(n). A2618

Jordan function J₂(n) (a generalization of φ(n)). A7434

Highly abundant numbers: numbers k such that σ(k) > σ(m) for all m < k. A2093

a(n) = n*σ(n). A64987