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13181049 = 387241
BaseRepresentation
bin110010010010…
…000001111001
3220210200000000
4302102001321
511333243144
61150303213
7220015500
oct62220171
926720000
1013181049
117493132
1244b7b09
13296674b
141a71837
151255769
hexc92079

13181049 has 54 divisors (see below), whose sum is σ = 23559354. Its totient is φ = 7348320.

The previous prime is 13181029. The next prime is 13181053. The reversal of 13181049 is 94018131.

It can be written as a sum of positive squares in only one way, i.e., 8037225 + 5143824 = 2835^2 + 2268^2 .

It is not a de Polignac number, because 13181049 - 28 = 13180793 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13181029) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 321469 + ... + 321509.

Almost surely, 213181049 is an apocalyptic number.

It is an amenable number.

13181049 is a deficient number, since it is larger than the sum of its proper divisors (10378305).

13181049 is an frugal number, since it uses more digits than its factorization.

13181049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 13181049 is about 3630.5714426244. The cubic root of 13181049 is about 236.2199961897.

The spelling of 13181049 in words is "thirteen million, one hundred eighty-one thousand, forty-nine".

Divisors: 1 3 7 9 21 27 41 49 63 81 123 147 189 243 287 369 441 567 729 861 1107 1323 1701 2009 2187 2583 3321 3969 5103 6027 6561 7749 9963 11907 15309 18081 23247 29889 35721 45927 54243 69741 89667 107163 162729 209223 269001 321489 488187 627669 1464561 1883007 4393683 13181049