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12729060 = 2232570717
BaseRepresentation
bin110000100011…
…101011100100
3212221200222200
4300203223210
511224312220
61132454500
7213123651
oct60435344
925850880
1012729060
117204593
12431a430
132838ab6
141994c28
1511b6890
hexc23ae4

12729060 has 36 divisors (see below), whose sum is σ = 38612028. Its totient is φ = 3394368.

The previous prime is 12729029. The next prime is 12729061. The reversal of 12729060 is 6092721.

It can be written as a sum of positive squares in 2 ways, for example, as 5503716 + 7225344 = 2346^2 + 2688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12729061) 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, 35179 + ... + 35538.

Almost surely, 212729060 is an apocalyptic number.

12729060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12729060 is an abundant number, since it is smaller than the sum of its proper divisors (25882968).

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

12729060 is a wasteful number, since it uses less digits than its factorization.

12729060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70732 (or 70727 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12729060 is about 3567.7808228645. The cubic root of 12729060 is about 233.4884727912.

The spelling of 12729060 in words is "twelve million, seven hundred twenty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 70717 141434 212151 282868 353585 424302 636453 707170 848604 1060755 1272906 1414340 2121510 2545812 3182265 4243020 6364530 12729060