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12182148 = 22321130763
BaseRepresentation
bin101110011110…
…001010000100
3211220220202200
4232132022010
511104312043
61113034500
7205355316
oct56361204
924826680
1012182148
1169706a0
1240b5a30
1326a6b94
1418917b6
1511097d3
hexb9e284

12182148 has 36 divisors (see below), whose sum is σ = 33594288. Its totient is φ = 3691440.

The previous prime is 12182123. The next prime is 12182153. The reversal of 12182148 is 84128121.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 14986 + ... + 15777.

Almost surely, 212182148 is an apocalyptic number.

12182148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12182148 is an abundant number, since it is smaller than the sum of its proper divisors (21412140).

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

12182148 is a wasteful number, since it uses less digits than its factorization.

12182148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30784 (or 30779 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 12182148 is about 3490.2933974094. The cubic root of 12182148 is about 230.0954109508.

The spelling of 12182148 in words is "twelve million, one hundred eighty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 30763 61526 92289 123052 184578 276867 338393 369156 553734 676786 1015179 1107468 1353572 2030358 3045537 4060716 6091074 12182148