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109998 = 234797
BaseRepresentation
bin11010110110101110
312120220000
4122312232
512004443
62205130
7635460
oct326656
9176800
10109998
1175709
12537a6
133b0b5
142c130
15228d3
hex1adae

109998 has 40 divisors (see below), whose sum is σ = 284592. Its totient is φ = 31104.

The previous prime is 109987. The next prime is 110017. The reversal of 109998 is 899901.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109998.

It is an unprimeable number.

109998 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1086 + ... + 1182.

2109998 is an apocalyptic number.

109998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142296).

109998 is an abundant number, since it is smaller than the sum of its proper divisors (174594).

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

109998 is an equidigital number, since it uses as much as digits as its factorization.

109998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 109998 is about 331.6594639084. The cubic root of 109998 is about 47.9139081798.

The spelling of 109998 in words is "one hundred nine thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 97 126 162 189 194 291 378 567 582 679 873 1134 1358 1746 2037 2619 4074 5238 6111 7857 12222 15714 18333 36666 54999 109998