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13005187 = 131783709
BaseRepresentation
bin110001100111…
…000110000011
3220110201202121
4301213012003
511312131222
61142425111
7215353666
oct61470603
926421677
1013005187
117382a98
124432197
1329046a0
141a276dd
15121d5c7
hexc67183

13005187 has 16 divisors (see below), whose sum is σ = 15029280. Its totient is φ = 11146752.

The previous prime is 13005173. The next prime is 13005191. The reversal of 13005187 is 78150031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13005187 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13005127) 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, 17989 + ... + 18697.

It is an arithmetic number, because the mean of its divisors is an integer number (939330).

Almost surely, 213005187 is an apocalyptic number.

13005187 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13005187 is a deficient number, since it is larger than the sum of its proper divisors (2024093).

13005187 is a wasteful number, since it uses less digits than its factorization.

13005187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 13005187 is about 3606.2705112068. The cubic root of 13005187 is about 235.1647373651.

The spelling of 13005187 in words is "thirteen million, five thousand, one hundred eighty-seven".

Divisors: 1 13 17 83 221 709 1079 1411 9217 12053 18343 58847 156689 765011 1000399 13005187