Properties of the Number 1600

One Thousand Six Hundred

Basics

Value: 1599 → 1600 → 1601

Parity: even

Prime: No

Previous Prime: 1597

Next Prime: 1601

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 5 ²

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000000

Octal: 3100

Duodecimal: B14

Hexadecimal: 640

Square: 2560000

Square Root: 40

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

The squares: a(n) = n². A290

Perfect powers: m^k where m > 0 and k >= 2. A1597

Powerful numbers (A001694) that are not prime powers (A000961). A286708

Even squares: a(n) = (2·n)². A16742

Numbers k that divide the (right) concatenation of all numbers <= k written in base 25 (most significant digit on left). A29470

Numbers of the form 2ⁱ*5^j with i, j >= 0. A3592

Generalized heptagonal numbers: m*(5·m - 3)/2, m = 0, +-1, +-2 +-3, ... A85787

Perfect powers of nonprimes (m^k where m is a nonprime positive integer and k >= 2). A131605

a(n) = period of the sequence {b(m), m>=0}, defined by b(m):=binomial(m+n,n) mod n. A133900

Structured great rhombicosidodecahedral numbers. A100145