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12085992 = 2332167861
BaseRepresentation
bin101110000110…
…101011101000
3211202000212100
4232012223220
511043222432
61111013400
7204505062
oct56065350
924660770
1012085992
116905426
12406a260
132672199
141868732
1510db07c
hexb86ae8

12085992 has 24 divisors (see below), whose sum is σ = 32733090. Its totient is φ = 4028640.

The previous prime is 12085987. The next prime is 12085993. The reversal of 12085992 is 29958021.

12085992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7650756 + 4435236 = 2766^2 + 2106^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (12085993) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83859 + ... + 84002.

Almost surely, 212085992 is an apocalyptic number.

12085992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12085992 is an abundant number, since it is smaller than the sum of its proper divisors (20647098).

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

12085992 is a wasteful number, since it uses less digits than its factorization.

12085992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167873 (or 167866 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 12085992 is about 3476.4913346649. The cubic root of 12085992 is about 229.4884155515.

The spelling of 12085992 in words is "twelve million, eighty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167861 335722 503583 671444 1007166 1342888 1510749 2014332 3021498 4028664 6042996 12085992