Search a number
-
+
12319188 = 223734173
BaseRepresentation
bin101110111111…
…100111010100
3212011212202020
4232333213110
511123203223
61120013140
7206466000
oct56774724
925155666
1012319188
116a54652
1241611b0
13272437b
1418c9700
1511351e3
hexbbf9d4

12319188 has 96 divisors (see below), whose sum is σ = 34809600. Its totient is φ = 3386880.

The previous prime is 12319129. The next prime is 12319193. The reversal of 12319188 is 88191321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168720 + ... + 168792.

It is an arithmetic number, because the mean of its divisors is an integer number (362600).

Almost surely, 212319188 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 12319188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404800).

12319188 is an abundant number, since it is smaller than the sum of its proper divisors (22490412).

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

12319188 is a wasteful number, since it uses less digits than its factorization.

12319188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 12319188 is about 3509.8700830658. The cubic root of 12319188 is about 230.9549958241.

The spelling of 12319188 in words is "twelve million, three hundred nineteen thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 73 82 84 98 123 146 147 164 196 219 246 287 292 294 343 438 492 511 574 588 686 861 876 1022 1029 1148 1372 1533 1722 2009 2044 2058 2993 3066 3444 3577 4018 4116 5986 6027 6132 7154 8036 8979 10731 11972 12054 14063 14308 17958 20951 21462 24108 25039 28126 35916 41902 42189 42924 50078 56252 62853 75117 83804 84378 100156 125706 146657 150234 168756 251412 293314 300468 439971 586628 879942 1026599 1759884 2053198 3079797 4106396 6159594 12319188