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13666107 = 3713113443
BaseRepresentation
bin110100001000…
…011100111011
3221201022101010
4310020130323
511444303412
61204525003
7224105610
oct64103473
927638333
1013666107
117794604
1246b0763
132aa6470
141b5a507
1512ee33c
hexd0873b

13666107 has 32 divisors (see below), whose sum is σ = 22675968. Its totient is φ = 7128576.

The previous prime is 13666099. The next prime is 13666123. The reversal of 13666107 is 70166631.

13666107 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13666107 - 23 = 13666099 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (13666127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30628 + ... + 31070.

It is an arithmetic number, because the mean of its divisors is an integer number (708624).

Almost surely, 213666107 is an apocalyptic number.

13666107 is a deficient number, since it is larger than the sum of its proper divisors (9009861).

13666107 is a wasteful number, since it uses less digits than its factorization.

13666107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13666107 is about 3696.7698061957. The cubic root of 13666107 is about 239.0827663369.

The spelling of 13666107 in words is "thirteen million, six hundred sixty-six thousand, one hundred seven".

Divisors: 1 3 7 13 21 39 91 113 273 339 443 791 1329 1469 2373 3101 4407 5759 9303 10283 17277 30849 40313 50059 120939 150177 350413 650767 1051239 1952301 4555369 13666107