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12059148 = 22319227233
BaseRepresentation
bin101110000000…
…001000001100
3211200200001010
4232000020030
511041343043
61110245220
7204333603
oct56001014
924620033
1012059148
116897242
124056810
132662bba
14185ca3a
1510d3133
hexb8020c

12059148 has 48 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 3775104.

The previous prime is 12059141. The next prime is 12059149. The reversal of 12059148 is 84195021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12059141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51640 + ... + 51872.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 212059148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12059148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

12059148 is an abundant number, since it is smaller than the sum of its proper divisors (17817972).

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

12059148 is a wasteful number, since it uses less digits than its factorization.

12059148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 12059148 is about 3472.6283993540. The cubic root of 12059148 is about 229.3183852780.

The spelling of 12059148 in words is "twelve million, fifty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 227 228 233 454 466 681 699 908 932 1362 1398 2724 2796 4313 4427 8626 8854 12939 13281 17252 17708 25878 26562 51756 52891 53124 105782 158673 211564 317346 634692 1004929 2009858 3014787 4019716 6029574 12059148