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12189136 = 2417411093
BaseRepresentation
bin101110011111…
…110111010000
3211221021100111
4232133313100
511110023021
61113131104
7205414561
oct56376720
924837314
1012189136
116975973
1240b9a94
1326aa10b
141894168
15110b8e1
hexb9fdd0

12189136 has 40 divisors (see below), whose sum is σ = 25638984. Its totient is φ = 5591040.

The previous prime is 12189097. The next prime is 12189139. The reversal of 12189136 is 63198121.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 8410000 = 1944^2 + 2900^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12189098 and 12189107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12189139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10606 + ... + 11698.

Almost surely, 212189136 is an apocalyptic number.

12189136 is a gapful number since it is divisible by the number (16) 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 12189136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819492).

12189136 is an abundant number, since it is smaller than the sum of its proper divisors (13449848).

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

12189136 is a wasteful number, since it uses less digits than its factorization.

12189136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 12189136 is about 3491.2943158663. The cubic root of 12189136 is about 230.1393987977.

The spelling of 12189136 in words is "twelve million, one hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1093 1394 2186 2788 4372 5576 8744 11152 17488 18581 37162 44813 74324 89626 148648 179252 297296 358504 717008 761821 1523642 3047284 6094568 12189136