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1098 = 23261
BaseRepresentation
bin10001001010
31111200
4101022
513343
65030
73126
oct2112
91450
101098
11909
12776
13666
14586
154d3
hex44a

1098 has 12 divisors (see below), whose sum is σ = 2418. Its totient is φ = 360.

The previous prime is 1097. The next prime is 1103. The reversal of 1098 is 8901.

Adding to 1098 its reverse (8901), we get a palindrome (9999).

1098 is nontrivially palindromic in base 8, base 11 and base 13.

It can be written as a sum of positive squares in only one way, i.e., 1089 + 9 = 33^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 61 = 1098 / (1 + 0 + 9 + 8).

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

1098 is an undulating number in base 11.

1098 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13 and base 16.

It is a nialpdrome in base 12 and base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 1098.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13 + ... + 48.

1098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1098 is an abundant number, since it is smaller than the sum of its proper divisors (1320).

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

1098 is a wasteful number, since it uses less digits than its factorization.

1098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1098 is about 33.1360830516. The cubic root of 1098 is about 10.3165411159.

The spelling of 1098 in words is "one thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098