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12183132 = 22313292693
BaseRepresentation
bin101110011110…
…011001011100
3211220222010010
4232132121130
511104330012
61113043220
7205361223
oct56363134
924828103
1012183132
116971405
1240b6510
1326a7470
141891cba
151109c3c
hexb9e65c

12183132 has 48 divisors (see below), whose sum is σ = 31681440. Its totient is φ = 3618048.

The previous prime is 12183113. The next prime is 12183139. The reversal of 12183132 is 23138121.

It is a junction number, because it is equal to n+sod(n) for n = 12183099 and 12183108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12183139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3178 + ... + 5870.

It is an arithmetic number, because the mean of its divisors is an integer number (660030).

Almost surely, 212183132 is an apocalyptic number.

12183132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12183132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840720).

12183132 is an abundant number, since it is smaller than the sum of its proper divisors (19498308).

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

12183132 is a wasteful number, since it uses less digits than its factorization.

12183132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2740 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 12183132 is about 3490.4343569247. The cubic root of 12183132 is about 230.1016060210.

The spelling of 12183132 in words is "twelve million, one hundred eighty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 2693 4524 5386 8079 10772 16158 32316 35009 70018 78097 105027 140036 156194 210054 234291 312388 420108 468582 937164 1015261 2030522 3045783 4061044 6091566 12183132