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13185045 = 335101967
BaseRepresentation
bin110010010011…
…000000010101
3220210212111000
4302103000111
511333410140
61150333513
7220033236
oct62230025
926725430
1013185045
117496135
1244ba299
132968503
141a7308d
151256a30
hexc93015

13185045 has 32 divisors (see below), whose sum is σ = 23696640. Its totient is φ = 6955200.

The previous prime is 13185043. The next prime is 13185079. The reversal of 13185045 is 54058131.

13185045 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 13185045 - 21 = 13185043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13185043) 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, 13152 + ... + 14118.

It is an arithmetic number, because the mean of its divisors is an integer number (740520).

Almost surely, 213185045 is an apocalyptic number.

13185045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13185045 is a deficient number, since it is larger than the sum of its proper divisors (10511595).

13185045 is a wasteful number, since it uses less digits than its factorization.

13185045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 13185045 is about 3631.1217275107. The cubic root of 13185045 is about 236.2438647941.

The spelling of 13185045 in words is "thirteen million, one hundred eighty-five thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 101 135 303 505 909 967 1515 2727 2901 4545 4835 8703 13635 14505 26109 43515 97667 130545 293001 488335 879003 1465005 2637009 4395015 13185045