1150 can denote either the natural number one thousand one hundred fifty or the calendar year in the mid-12th century. As a number it has specific arithmetic properties and standard notations; as a year it sits in the High Middle Ages and the Southern Song period, a time of political change and cultural development across Eurasia.
Mathematical properties
In arithmetic, 1150 factors as 2 × 5^2 × 23. It has 12 positive divisors and is classified as a deficient number because the sum of its proper divisors is less than the number itself. Common representations include Roman numerals MCL, binary 10001111110, and hexadecimal 0x47E. Its Euler totient value is 440.
- Prime factorization: 2 × 5^2 × 23
- Divisors: 1, 2, 5, 10, 23, 46, 25, 50, 115, 230, 575, 1150
- Sum of divisors: 2232; sum of proper divisors: 1082
Year 1150: historical context
Year 1150 falls in a period often described as the High Middle Ages in Europe. This era saw consolidation of kingdoms, the continuing existence of the Crusader states in the Levant, and the gradual emergence of Gothic architecture from Romanesque precedents. Educational institutions that later became universities were beginning to form in several European cities during the 12th century.
Beyond Europe, the first half of the 12th century witnessed important developments: the Southern Song dynasty governed large parts of China and supported commercial and cultural innovations; in Southeast Asia the great Angkorian monuments were constructed in the early-to-mid 12th century. In the Islamic world and the eastern Mediterranean, regional dynasties and military leaders shaped political life following the earlier Seljuk expansions.
Uses and notable facts
1150 is used as a simple chronological label in history and as an identifier in many modern contexts (catalog numbers, model designations, and so on). As a calendar year it serves as a reference point for scholars studying mid-12th-century institutions, architecture, and political change across regions.