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12193956 = 2233234909
BaseRepresentation
bin101110100001…
…000010100100
3211221111222000
4232201002210
511110201311
61113205300
7205434615
oct56410244
924844860
1012193956
116979555
124100830
1326ac378
141895c0c
15110d056
hexba10a4

12193956 has 48 divisors (see below), whose sum is σ = 32995200. Its totient is φ = 3887136.

The previous prime is 12193931. The next prime is 12193957. The reversal of 12193956 is 65939121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12193956.

It is not an unprimeable number, because it can be changed into a prime (12193957) 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, 30 + ... + 4938.

It is an arithmetic number, because the mean of its divisors is an integer number (687400).

Almost surely, 212193956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12193956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497600).

12193956 is an abundant number, since it is smaller than the sum of its proper divisors (20801244).

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

12193956 is a wasteful number, since it uses less digits than its factorization.

12193956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4937 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 12193956 is about 3491.9845360482. The cubic root of 12193956 is about 230.1697297886.

The spelling of 12193956 in words is "twelve million, one hundred ninety-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 4909 9818 14727 19636 29454 44181 58908 88362 112907 132543 176724 225814 265086 338721 451628 530172 677442 1016163 1354884 2032326 3048489 4064652 6096978 12193956