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12612042 = 2322937653
BaseRepresentation
bin110000000111…
…000111001010
3212201202110200
4300013013022
511212041132
61130153030
7212125542
oct60070712
925652420
1012612042
117134683
124282776
1327c7761
141964322
151191d7c
hexc071ca

12612042 has 48 divisors (see below), whose sum is σ = 29076840. Its totient is φ = 3943296.

The previous prime is 12612001. The next prime is 12612091. The reversal of 12612042 is 24021621.

12612042 is a `hidden beast` number, since 12 + 612 + 0 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11553201 + 1058841 = 3399^2 + 1029^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18988 + ... + 19640.

Almost surely, 212612042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12612042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538420).

12612042 is an abundant number, since it is smaller than the sum of its proper divisors (16464798).

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

12612042 is a wasteful number, since it uses less digits than its factorization.

12612042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12612042 is about 3551.3436893660. The cubic root of 12612042 is about 232.7707840546.

Adding to 12612042 its reverse (24021621), we get a palindrome (36633663).

The spelling of 12612042 in words is "twelve million, six hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 653 666 1073 1306 1959 2146 3219 3918 5877 6438 9657 11754 18937 19314 24161 37874 48322 56811 72483 113622 144966 170433 217449 340866 434898 700669 1401338 2102007 4204014 6306021 12612042