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12935060 = 225312673
BaseRepresentation
bin110001010101…
…111110010100
3220100011120022
4301111332110
511302410220
61141124312
7214642355
oct61257624
926304508
1012935060
117335336
1243b9698
1328ab7a8
141a09d2c
151207925
hexc55f94

12935060 has 36 divisors (see below), whose sum is σ = 28109844. Its totient is φ = 4999680.

The previous prime is 12935051. The next prime is 12935063. The reversal of 12935060 is 6053921.

It can be written as a sum of positive squares in 2 ways, for example, as 4443664 + 8491396 = 2108^2 + 2914^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12935063) 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 11 ways as a sum of consecutive naturals, for example, 18884 + ... + 19556.

It is an arithmetic number, because the mean of its divisors is an integer number (780829).

Almost surely, 212935060 is an apocalyptic number.

12935060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12935060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054922).

12935060 is an abundant number, since it is smaller than the sum of its proper divisors (15174784).

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

12935060 is a wasteful number, since it uses less digits than its factorization.

12935060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 12935060 is about 3596.5344430437. The cubic root of 12935060 is about 234.7412876427.

Adding to 12935060 its reverse (6053921), we get a palindrome (18988981).

The spelling of 12935060 in words is "twelve million, nine hundred thirty-five thousand, sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 673 961 1346 1922 2692 3365 3844 4805 6730 9610 13460 19220 20863 41726 83452 104315 208630 417260 646753 1293506 2587012 3233765 6467530 12935060