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12705372 = 2232536659
BaseRepresentation
bin110000011101…
…111001011100
3212220111111100
4300131321130
511223032442
61132153100
7212664621
oct60357134
925814440
1012705372
117198809
124308790
13282b094
14198a348
1511ae84c
hexc1de5c

12705372 has 36 divisors (see below), whose sum is σ = 32727240. Its totient is φ = 4154592.

The previous prime is 12705349. The next prime is 12705377. The reversal of 12705372 is 27350721.

12705372 is a `hidden beast` number, since 127 + 0 + 537 + 2 = 666.

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

It is a super-2 number, since 2×127053722 = 322852955316768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12705377) 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 11 ways as a sum of consecutive naturals, for example, 1422 + ... + 5237.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 212705372 is an apocalyptic number.

12705372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12705372 is an abundant number, since it is smaller than the sum of its proper divisors (20021868).

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

12705372 is a wasteful number, since it uses less digits than its factorization.

12705372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 12705372 is about 3564.4595663298. The cubic root of 12705372 is about 233.3435469452.

The spelling of 12705372 in words is "twelve million, seven hundred five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 6659 13318 19977 26636 39954 59931 79908 119862 239724 352927 705854 1058781 1411708 2117562 3176343 4235124 6352686 12705372