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13668193 = 711296121
BaseRepresentation
bin110100001000…
…111101100001
3221201102020101
4310020331201
511444340233
61204542401
7224114650
oct64107541
927642211
1013668193
117796130
1246b1a01
132aa73b6
141b5b197
1512eec7d
hexd08f61

13668193 has 16 divisors (see below), whose sum is σ = 17631360. Its totient is φ = 10281600.

The previous prime is 13668169. The next prime is 13668227. The reversal of 13668193 is 39186631.

13668193 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13668193 - 213 = 13660001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13668103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828 + ... + 5293.

It is an arithmetic number, because the mean of its divisors is an integer number (1101960).

Almost surely, 213668193 is an apocalyptic number.

It is an amenable number.

13668193 is a deficient number, since it is larger than the sum of its proper divisors (3963167).

13668193 is a wasteful number, since it uses less digits than its factorization.

13668193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168.

The product of its digits is 23328, while the sum is 37.

The square root of 13668193 is about 3697.0519336358. The cubic root of 13668193 is about 239.0949302808.

It can be divided in two parts, 13668 and 193, that added together give a triangular number (13861 = T166).

The spelling of 13668193 in words is "thirteen million, six hundred sixty-eight thousand, one hundred ninety-three".

Divisors: 1 7 11 29 77 203 319 2233 6121 42847 67331 177509 471317 1242563 1952599 13668193