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12195428 = 2272329653
BaseRepresentation
bin101110100001…
…011001100100
3211221120222112
4232201121210
511110223203
61113220152
7205442120
oct56413144
924846875
1012195428
11697a673
124101658
1326acc3b
141896580
15110d6d8
hexba1664

12195428 has 48 divisors (see below), whose sum is σ = 26369280. Its totient is φ = 4819584.

The previous prime is 12195427. The next prime is 12195437. The reversal of 12195428 is 82459121.

It is a junction number, because it is equal to n+sod(n) for n = 12195394 and 12195403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12195427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18350 + ... + 19002.

It is an arithmetic number, because the mean of its divisors is an integer number (549360).

Almost surely, 212195428 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 12195428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184640).

12195428 is an abundant number, since it is smaller than the sum of its proper divisors (14173852).

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

12195428 is a wasteful number, since it uses less digits than its factorization.

12195428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 12195428 is about 3492.1952980897. The cubic root of 12195428 is about 230.1789911038.

The spelling of 12195428 in words is "twelve million, one hundred ninety-five thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 644 653 667 812 1306 1334 2612 2668 4571 4669 9142 9338 15019 18284 18676 18937 30038 37874 60076 75748 105133 132559 210266 265118 420532 435551 530236 871102 1742204 3048857 6097714 12195428