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12164028 = 22319311721
BaseRepresentation
bin101110011001…
…101110111100
3211212222220120
4232121232330
511103222103
61112414540
7205251432
oct56315674
924788816
1012164028
116959018
1240a7450
13269b866
141888d52
151104253
hexb99bbc

12164028 has 48 divisors (see below), whose sum is σ = 30858240. Its totient is φ = 3715200.

The previous prime is 12164017. The next prime is 12164039. The reversal of 12164028 is 82046121.

It is an interprime number because it is at equal distance from previous prime (12164017) and next prime (12164039).

It is a junction number, because it is equal to n+sod(n) for n = 12163989 and 12164007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6208 + ... + 7928.

It is an arithmetic number, because the mean of its divisors is an integer number (642880).

Almost surely, 212164028 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 12164028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429120).

12164028 is an abundant number, since it is smaller than the sum of its proper divisors (18694212).

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

12164028 is a wasteful number, since it uses less digits than its factorization.

12164028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12164028 is about 3487.6966611218. The cubic root of 12164028 is about 229.9812713168.

The spelling of 12164028 in words is "twelve million, one hundred sixty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1721 1767 2356 3442 3534 5163 6884 7068 10326 20652 32699 53351 65398 98097 106702 130796 160053 196194 213404 320106 392388 640212 1013669 2027338 3041007 4054676 6082014 12164028