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13065876 = 2232362941
BaseRepresentation
bin110001110101…
…111010010100
3220120211000100
4301311322110
511321102001
61144014100
7216025635
oct61657224
926524010
1013065876
11741464a
124461330
1329261b5
141a4188c
151231586
hexc75e94

13065876 has 18 divisors (see below), whose sum is σ = 33027722. Its totient is φ = 4355280.

The previous prime is 13065853. The next prime is 13065881. The reversal of 13065876 is 67856031.

It can be written as a sum of positive squares in only one way, i.e., 7160976 + 5904900 = 2676^2 + 2430^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 362941 = 13065876 / (1 + 3 + 0 + 6 + 5 + 8 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 13065876.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 181435 + ... + 181506.

Almost surely, 213065876 is an apocalyptic number.

It is an amenable number.

13065876 is an abundant number, since it is smaller than the sum of its proper divisors (19961846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13065876 is a wasteful number, since it uses less digits than its factorization.

13065876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362951 (or 362946 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 13065876 is about 3614.6750891332. The cubic root of 13065876 is about 235.5299703564.

The spelling of 13065876 in words is "thirteen million, sixty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 362941 725882 1088823 1451764 2177646 3266469 4355292 6532938 13065876