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1092 = 223713
BaseRepresentation
bin10001000100
31111110
4101010
513332
65020
73120
oct2104
91443
101092
11903
12770
13660
14580
154cc
hex444

1092 has 24 divisors (see below), whose sum is σ = 3136. Its totient is φ = 288.

The previous prime is 1091. The next prime is 1093. The reversal of 1092 is 2901.

1092 divided by its sum of digits (12) gives a triangular number (91 = T13).

Adding to 1092 its reverse (2901), we get a palindrome (3993).

It can be divided in two parts, 109 and 2, that added together give a palindrome (111).

It is a happy number.

1092 is nontrivially palindromic in base 16.

1092 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1091) and next prime (1093).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between odd and even.

1092 is an undulating number in base 4.

1092 is a nontrivial repdigit in base 16.

It is a plaindrome in base 15 and base 16.

It is a nialpdrome in base 3, base 12, base 13 and base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 90.

21092 is an apocalyptic number.

1092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568).

1092 is an abundant number, since it is smaller than the sum of its proper divisors (2044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1092 is a wasteful number, since it uses less digits than its factorization.

1092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1092 is about 33.0454232837. The cubic root of 1092 is about 10.2977152692.

The spelling of 1092 in words is "one thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092