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13214268 = 2232557659
BaseRepresentation
bin110010011010…
…001000111100
3220212100120100
4302122020330
511340324033
61151121100
7220214364
oct62321074
926770510
1013214268
117506091
124513190
1329788c2
141a7d9a4
151260513
hexc9a23c

13214268 has 36 divisors (see below), whose sum is σ = 33513480. Its totient is φ = 4390176.

The previous prime is 13214263. The next prime is 13214269. The reversal of 13214268 is 86241231.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19723 + ... + 20381.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 213214268 is an apocalyptic number.

13214268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13214268 is an abundant number, since it is smaller than the sum of its proper divisors (20299212).

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

13214268 is a wasteful number, since it uses less digits than its factorization.

13214268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1221 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 13214268 is about 3635.1434634688. The cubic root of 13214268 is about 236.4182709817.

Adding to 13214268 its reverse (86241231), we get a palindrome (99455499).

It can be divided in two parts, 132 and 14268, that added together give a square (14400 = 1202).

The spelling of 13214268 in words is "thirteen million, two hundred fourteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 557 659 1114 1318 1671 1977 2228 2636 3342 3954 5013 5931 6684 7908 10026 11862 20052 23724 367063 734126 1101189 1468252 2202378 3303567 4404756 6607134 13214268