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120198 = 23132367
BaseRepresentation
bin11101010110000110
320002212210
4131112012
512321243
62324250
71010301
oct352606
9202783
10120198
1182341
1259686
1342930
1431b38
1525933
hex1d586

120198 has 32 divisors (see below), whose sum is σ = 274176. Its totient is φ = 34848.

The previous prime is 120193. The next prime is 120199. The reversal of 120198 is 891021.

120198 is a modest number, since divided by 198 gives 12 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120193) by changing a digit.

120198 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1761 + ... + 1827.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2120198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088).

120198 is an abundant number, since it is smaller than the sum of its proper divisors (153978).

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

120198 is a wasteful number, since it uses less digits than its factorization.

120198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 120198 is about 346.6958321065. The cubic root of 120198 is about 49.3513549125.

The spelling of 120198 in words is "one hundred twenty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 13 23 26 39 46 67 69 78 134 138 201 299 402 598 871 897 1541 1742 1794 2613 3082 4623 5226 9246 20033 40066 60099 120198