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13327657 = 721012693
BaseRepresentation
bin110010110101…
…110100101001
3221002010002221
4302311310221
511402441112
61153354041
7221166100
oct62656451
927063087
1013327657
1175832a2
124568921
1329b83b5
141aad037
151283e07
hexcb5d29

13327657 has 12 divisors (see below), whose sum is σ = 15662916. Its totient is φ = 11306400.

The previous prime is 13327651. The next prime is 13327669. The reversal of 13327657 is 75672331.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 3493161 = 3136^2 + 1869^2 .

It is not a de Polignac number, because 13327657 - 223 = 4939049 is a prime.

It is a super-2 number, since 2×133276572 = 355252882219298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13327651) 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, 3603 + ... + 6295.

It is an arithmetic number, because the mean of its divisors is an integer number (1305243).

Almost surely, 213327657 is an apocalyptic number.

It is an amenable number.

13327657 is a deficient number, since it is larger than the sum of its proper divisors (2335259).

13327657 is a wasteful number, since it uses less digits than its factorization.

13327657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2801 counting only the distinct ones).

The product of its digits is 26460, while the sum is 34.

The square root of 13327657 is about 3650.7063700057. The cubic root of 13327657 is about 237.0925653363.

Adding to 13327657 its reverse (75672331), we get a palindrome (88999988).

The spelling of 13327657 in words is "thirteen million, three hundred twenty-seven thousand, six hundred fifty-seven".

Divisors: 1 7 49 101 707 2693 4949 18851 131957 271993 1903951 13327657