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13205260 = 2251738839
BaseRepresentation
bin110010010111…
…111100001100
3220211220012201
4302113330030
511340032020
61151011244
7220146205
oct62277414
926756181
1013205260
1174aa342
124509b24
132974783
141a7a5ac
15125ca0a
hexc97f0c

13205260 has 24 divisors (see below), whose sum is σ = 29363040. Its totient is φ = 4971264.

The previous prime is 13205251. The next prime is 13205267. The reversal of 13205260 is 6250231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13205267) 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 7 ways as a sum of consecutive naturals, for example, 19080 + ... + 19759.

It is an arithmetic number, because the mean of its divisors is an integer number (1223460).

Almost surely, 213205260 is an apocalyptic number.

13205260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13205260 is an abundant number, since it is smaller than the sum of its proper divisors (16157780).

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

13205260 is a wasteful number, since it uses less digits than its factorization.

13205260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38865 (or 38863 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13205260 is about 3633.9042364928. The cubic root of 13205260 is about 236.3645376512.

Adding to 13205260 its reverse (6250231), we get a palindrome (19455491).

The spelling of 13205260 in words is "thirteen million, two hundred five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 38839 77678 155356 194195 388390 660263 776780 1320526 2641052 3301315 6602630 13205260