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13106268 = 2232752009
BaseRepresentation
bin110001111111…
…110001011100
3220122212102100
4301333301130
511323400033
61144525100
7216254460
oct61776134
926585370
1013106268
117441a2a
124480790
13293b6b6
141a524a0
15123d513
hexc7fc5c

13106268 has 36 divisors (see below), whose sum is σ = 37863280. Its totient is φ = 3744576.

The previous prime is 13106243. The next prime is 13106287. The reversal of 13106268 is 86260131.

13106268 is a `hidden beast` number, since 1 + 31 + 0 + 626 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25753 + ... + 26256.

Almost surely, 213106268 is an apocalyptic number.

13106268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13106268 is an abundant number, since it is smaller than the sum of its proper divisors (24757012).

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

13106268 is a wasteful number, since it uses less digits than its factorization.

13106268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52026 (or 52021 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13106268 is about 3620.2580018557. The cubic root of 13106268 is about 235.7724273734.

Adding to 13106268 its reverse (86260131), we get a palindrome (99366399).

The spelling of 13106268 in words is "thirteen million, one hundred six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 52009 104018 156027 208036 312054 364063 468081 624108 728126 936162 1092189 1456252 1872324 2184378 3276567 4368756 6553134 13106268