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13512132 = 22322316319
BaseRepresentation
bin110011100010…
…110111000100
3221102111011100
4303202313010
511424342012
61201340100
7222564654
oct63426704
927374140
1013512132
117699957
124637630
132a5135a
141b1a364
1512bd8dc
hexce2dc4

13512132 has 36 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 4307952.

The previous prime is 13512131. The next prime is 13512143. The reversal of 13512132 is 23121531.

13512132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×135121322 = 365155422370848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13512131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7332 + ... + 8987.

It is an arithmetic number, because the mean of its divisors is an integer number (990080).

Almost surely, 213512132 is an apocalyptic number.

13512132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13512132 is an abundant number, since it is smaller than the sum of its proper divisors (22130748).

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

13512132 is a wasteful number, since it uses less digits than its factorization.

13512132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16352 (or 16347 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13512132 is about 3675.8851995132. The cubic root of 13512132 is about 238.1814636600.

Adding to 13512132 its reverse (23121531), we get a palindrome (36633663).

The spelling of 13512132 in words is "thirteen million, five hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 16319 32638 48957 65276 97914 146871 195828 293742 375337 587484 750674 1126011 1501348 2252022 3378033 4504044 6756066 13512132