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12130164 = 2232595711
BaseRepresentation
bin101110010001…
…011101110100
3211211021110100
4232101131310
511101131124
61111554100
7205050624
oct56213564
924737410
1012130164
116935632
12408b930
132689317
14187a884
1510e91c9
hexb91774

12130164 has 36 divisors (see below), whose sum is σ = 31187520. Its totient is φ = 3974160.

The previous prime is 12130159. The next prime is 12130169. The reversal of 12130164 is 46103121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12130159) and next prime (12130169).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130169) 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, 732 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (866320).

Almost surely, 212130164 is an apocalyptic number.

It is an amenable number.

12130164 is an abundant number, since it is smaller than the sum of its proper divisors (19057356).

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

12130164 is a wasteful number, since it uses less digits than its factorization.

12130164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12130164 is about 3482.8384975477. The cubic root of 12130164 is about 229.7676544630.

Adding to 12130164 its reverse (46103121), we get a palindrome (58233285).

The spelling of 12130164 in words is "twelve million, one hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 5711 11422 17133 22844 34266 51399 68532 102798 205596 336949 673898 1010847 1347796 2021694 3032541 4043388 6065082 12130164