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13792661 = 1729101277
BaseRepresentation
bin110100100111…
…010110010101
3221221201222022
4310213112111
512012331121
61211342525
7225143561
oct64472625
927851868
1013792661
1178706a3
124751a45
132b1bc4c
141b906a1
151326aab
hexd27595

13792661 has 16 divisors (see below), whose sum is σ = 15312240. Its totient is φ = 12364800.

The previous prime is 13792643. The next prime is 13792699. The reversal of 13792661 is 16629731.

It can be written as a sum of positive squares in 8 ways, for example, as 1012036 + 12780625 = 1006^2 + 3575^2 .

It is a cyclic number.

It is not a de Polignac number, because 13792661 - 210 = 13791637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13792631) 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 15 ways as a sum of consecutive naturals, for example, 49655 + ... + 49931.

It is an arithmetic number, because the mean of its divisors is an integer number (957015).

Almost surely, 213792661 is an apocalyptic number.

It is an amenable number.

13792661 is a deficient number, since it is larger than the sum of its proper divisors (1519579).

13792661 is a wasteful number, since it uses less digits than its factorization.

13792661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424.

The product of its digits is 13608, while the sum is 35.

The square root of 13792661 is about 3713.8471966412. The cubic root of 13792661 is about 239.8185028258.

The spelling of 13792661 in words is "thirteen million, seven hundred ninety-two thousand, six hundred sixty-one".

Divisors: 1 17 29 101 277 493 1717 2929 4709 8033 27977 49793 136561 475609 811333 13792661