1035

1035 is a natural number that follows 1034 and precedes 1036. In mathematics, it is an odd composite number with prime factorization 3^2 × 5 × 23. It is also a triangular number, since 1035 = 45 × 46 / 2, the 45th triangular number. It is divisible by 9 and by 45; indeed 1035 = 9 × 115 and = 45 × 23. Consequently, 1035 is a Harshad (Niven) number in base 10, because the sum of its digits is 9 and 9 divides 1035. In various bases the representations are: binary 10000001011, hexadecimal 0x40B, and Roman numeral MXXXV.

As a year, 1035 CE falls in the 11th century, a period within the broader era of the High Middle Ages in Europe. The year is associated with regional historical developments typical of medieval monarchies and ecclesiastical institutions, with events occurring at different locales according to local calendars and records.

See also: triangular numbers, Harshad numbers, Roman numerals.