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12136788 = 2232536361
BaseRepresentation
bin101110010011…
…000101010100
3211211121112200
4232103011110
511101334123
61112044500
7205106136
oct56230524
924747480
1012136788
11693a604
124093730
13268c341
14187d056
1510eb143
hexb93154

12136788 has 36 divisors (see below), whose sum is σ = 31262868. Its totient is φ = 3968640.

The previous prime is 12136783. The next prime is 12136829. The reversal of 12136788 is 88763121.

It can be written as a sum of positive squares in 2 ways, for example, as 5846724 + 6290064 = 2418^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12136783) 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 11 ways as a sum of consecutive naturals, for example, 1273 + ... + 5088.

It is an arithmetic number, because the mean of its divisors is an integer number (868413).

Almost surely, 212136788 is an apocalyptic number.

12136788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12136788 is an abundant number, since it is smaller than the sum of its proper divisors (19126080).

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

12136788 is a wasteful number, since it uses less digits than its factorization.

12136788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6419 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12136788 is about 3483.7893162475. The cubic root of 12136788 is about 229.8094704403.

It can be divided in two parts, 1213 and 6788, that added together give a triangular number (8001 = T126).

The spelling of 12136788 in words is "twelve million, one hundred thirty-six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 6361 12722 19083 25444 38166 57249 76332 114498 228996 337133 674266 1011399 1348532 2022798 3034197 4045596 6068394 12136788