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36000198 = 23213236689
BaseRepresentation
bin1000100101010…
…1000111000110
32111201222222200
42021111013012
533204001243
63323335330
7614665563
oct211250706
974658880
1036000198
1119359533
1210081546
1375c60c0
144ad186a
153261ad3
hex22551c6

36000198 has 48 divisors (see below), whose sum is σ = 87665760. Its totient is φ = 10593792.

The previous prime is 36000179. The next prime is 36000199. The reversal of 36000198 is 89100063.

36000198 is a modest number, since divided by 198 gives 36 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36000199) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2038 + ... + 8726.

It is an arithmetic number, because the mean of its divisors is an integer number (1826370).

Almost surely, 236000198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36000198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43832880).

36000198 is an abundant number, since it is smaller than the sum of its proper divisors (51665562).

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

36000198 is a wasteful number, since it uses less digits than its factorization.

36000198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 36000198 is about 6000.0164999773. The cubic root of 36000198 is about 330.1933302417.

The spelling of 36000198 in words is "thirty-six million, one hundred ninety-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 5382 6689 13378 20067 40134 60201 86957 120402 153847 173914 260871 307694 461541 521742 782613 923082 1384623 1565226 2000011 2769246 4000022 6000033 12000066 18000099 36000198