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12777132 = 2231762633
BaseRepresentation
bin110000101111…
…011010101100
3220001010221010
4300233122230
511232332012
61133505220
7213414054
oct60573254
926033833
1012777132
117237715
124342210
132854944
1419a8564
1511c5c3c
hexc2f6ac

12777132 has 24 divisors (see below), whose sum is σ = 31567536. Its totient is φ = 4008448.

The previous prime is 12777113. The next prime is 12777133. The reversal of 12777132 is 23177721.

It is a self number, because there is not a number n which added to its sum of digits gives 12777132.

It is not an unprimeable number, because it can be changed into a prime (12777133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31113 + ... + 31520.

It is an arithmetic number, because the mean of its divisors is an integer number (1315314).

Almost surely, 212777132 is an apocalyptic number.

12777132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12777132 is an abundant number, since it is smaller than the sum of its proper divisors (18790404).

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

12777132 is a wasteful number, since it uses less digits than its factorization.

12777132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62657 (or 62655 counting only the distinct ones).

The product of its digits is 4116, while the sum is 30.

The square root of 12777132 is about 3574.5114351475. The cubic root of 12777132 is about 233.7820309371.

The spelling of 12777132 in words is "twelve million, seven hundred seventy-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 62633 125266 187899 250532 375798 751596 1064761 2129522 3194283 4259044 6388566 12777132