1062

1062, or one thousand sixty-two, is a natural number that follows 1061 and precedes 1063. It is an even composite number and, in base-10 arithmetic, possesses several notable properties.

In prime factorization form, 1062 = 2 × 3^2 × 59. Its positive divisors are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, and 1062. The sum of all divisors is 2340, so the sum of its proper divisors is 1278. Therefore, 1062 is an abundant number, being larger than the number itself by 216. It is also a Harshad number in base 10, since 1062 divided by the sum of its digits (1+0+6+2 = 9) equals 118.

Representations: in binary, 1062 is 10000100110; in hexadecimal, it is 0x426; in Roman numerals, it is MLXII.

In historical timekeeping, 1062 CE falls in the 11th century, a period of feudal dynamics in Europe and continued state formation across Asia and the Middle East. As a calendar year, it is used in historical writing to anchor events in different regions, though specific chronologies vary by source.

The number 1062 also serves as a simple reference in computing, coding, and numeration systems, illustrating how a single integer can have multiple mathematical characteristics and historical usages.