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13000275 = 3252193041
BaseRepresentation
bin110001100101…
…111001010011
3220110111000200
4301211321103
511312002100
61142350243
7215333451
oct61457123
926414020
1013000275
11737a332
12442b383
132902392
141a259d1
15121be00
hexc65e53

13000275 has 36 divisors (see below), whose sum is σ = 24518520. Its totient is φ = 6566400.

The previous prime is 13000261. The next prime is 13000277. The reversal of 13000275 is 57200031.

It is not a de Polignac number, because 13000275 - 25 = 13000243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13000277) 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 35 ways as a sum of consecutive naturals, for example, 2755 + ... + 5795.

It is an arithmetic number, because the mean of its divisors is an integer number (681070).

Almost surely, 213000275 is an apocalyptic number.

13000275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13000275 is a deficient number, since it is larger than the sum of its proper divisors (11518245).

13000275 is a wasteful number, since it uses less digits than its factorization.

13000275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13000275 is about 3605.5894109008. The cubic root of 13000275 is about 235.1351267528.

The spelling of 13000275 in words is "thirteen million, two hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 475 855 1425 3041 4275 9123 15205 27369 45615 57779 76025 136845 173337 228075 288895 520011 684225 866685 1444475 2600055 4333425 13000275