1050

1050 is a natural number that follows 1049 and precedes 1051. In mathematics it is an even, composite number with prime factorization 2 × 3 × 5^2 × 7. Its divisors include 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 210, 250, 350, 525, and 1050. The sum of all divisors is 2976, which makes the sum of proper divisors 1926; hence 1050 is an abundant number. In various bases, 1050 is written as binary 10000011010, octal 2032, and hexadecimal 41A, and in Roman numerals it is ML. It is also a Harshad (Niven) number in base 10, since its digits sum to 6 and 6 divides 1050.

As a calendar year, 1050 CE sits in the mid-11th century. The Byzantine Empire at the time was ruled by Emperor Constantine IX Monomachos (reigned 1042–1055). In China, the Song dynasty governed under Emperor Renzong (reigned 1022–1063). The decade around 1050 is associated with ongoing reforms and shifting power dynamics in both Europe and Asia, culminating a few years later in the East–West Schism of 1054 that shaped Western and Eastern Christendom.

Beyond mathematics and chronology, 1050 may appear in various cataloging, numbering, or model-designations, where the sequence of digits serves as an identifier rather than a meaningfully mathematical label.