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12000198 = 237617
BaseRepresentation
bin101101110001…
…101111000110
3211120200011210
4231301233012
511033001243
61105112250
7204000000
oct55615706
924520153
1012000198
116856a21
124028686
132642112
141845370
1510c0933
hexb71bc6

12000198 has 56 divisors (see below), whose sum is σ = 29647512. Its totient is φ = 3226944.

The previous prime is 12000133. The next prime is 12000239. The reversal of 12000198 is 89100021.

It is a Harshad number since it is a multiple of its sum of digits (21).

12000198 is a modest number, since divided by 198 gives 12 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 705886 + ... + 705902.

Almost surely, 212000198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823756).

12000198 is an abundant number, since it is smaller than the sum of its proper divisors (17647314).

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

12000198 is an frugal number, since it uses more digits than its factorization.

12000198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

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

The square root of 12000198 is about 3464.1301938582. The cubic root of 12000198 is about 228.9441076894.

The spelling of 12000198 in words is "twelve million, one hundred ninety-eight", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 343 357 686 714 833 1029 1666 2058 2401 2499 4802 4998 5831 7203 11662 14406 16807 17493 33614 34986 40817 50421 81634 100842 117649 122451 235298 244902 285719 352947 571438 705894 857157 1714314 2000033 4000066 6000099 12000198