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164165076 = 22332366089
BaseRepresentation
bin10011100100011…
…11010111010100
3102102220110011000
421302033113110
5314011240301
624142343300
74032244245
oct1162172724
9372813130
10164165076
1184737719
1246b8ab30
132801b4ca
1417b34ccc
15e62b786
hex9c8f5d4

164165076 has 48 divisors (see below), whose sum is σ = 444124800. Its totient is φ = 52341696.

The previous prime is 164165069. The next prime is 164165083. The reversal of 164165076 is 670561461.

164165076 is a `hidden beast` number, since 1 + 641 + 6 + 5 + 0 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (164165069) and next prime (164165083).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164165076.

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, 30561 + ... + 35528.

It is an arithmetic number, because the mean of its divisors is an integer number (9252600).

Almost surely, 2164165076 is an apocalyptic number.

It is an amenable number.

164165076 is an abundant number, since it is smaller than the sum of its proper divisors (279959724).

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

164165076 is a wasteful number, since it uses less digits than its factorization.

164165076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66125 (or 66117 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164165076 is about 12812.6919888055. The cubic root of 164165076 is about 547.5539597784.

The spelling of 164165076 in words is "one hundred sixty-four million, one hundred sixty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 66089 132178 198267 264356 396534 594801 793068 1189602 1520047 1784403 2379204 3040094 3568806 4560141 6080188 7137612 9120282 13680423 18240564 27360846 41041269 54721692 82082538 164165076