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12772340 = 2257213033
BaseRepresentation
bin110000101110…
…001111110100
3220000220100122
4300232033310
511232203330
61133431112
7213364100
oct60561764
926026318
1012772340
117234059
12433b498
1328526c9
1419a6900
1511c45e5
hexc2e3f4

12772340 has 36 divisors (see below), whose sum is σ = 31203396. Its totient is φ = 4378752.

The previous prime is 12772339. The next prime is 12772349. The reversal of 12772340 is 4327721.

It can be written as a sum of positive squares in 2 ways, for example, as 6280036 + 6492304 = 2506^2 + 2548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12772349) 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, 5537 + ... + 7496.

It is an arithmetic number, because the mean of its divisors is an integer number (866761).

Almost surely, 212772340 is an apocalyptic number.

12772340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12772340 is an abundant number, since it is smaller than the sum of its proper divisors (18431056).

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

12772340 is a wasteful number, since it uses less digits than its factorization.

12772340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13056 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 12772340 is about 3573.8410708928. The cubic root of 12772340 is about 233.7528010188.

The spelling of 12772340 in words is "twelve million, seven hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 13033 26066 52132 65165 91231 130330 182462 260660 364924 456155 638617 912310 1277234 1824620 2554468 3193085 6386170 12772340