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164099328 = 283732927
BaseRepresentation
bin10011100011111…
…11010100000000
3102102210002221220
421301333110000
5314002134303
624141115040
74031551461
oct1161772400
9372702856
10164099328
11846a2288
1246b58a80
1327cc75c3
1417b18d68
15e617053
hex9c7f500

164099328 has 72 divisors (see below), whose sum is σ = 442877568. Its totient is φ = 53932032.

The previous prime is 164099311. The next prime is 164099347. The reversal of 164099328 is 823990461.

It is a self number, because there is not a number n which added to its sum of digits gives 164099328.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 54601 + ... + 57527.

Almost surely, 2164099328 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 164099328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221438784).

164099328 is an abundant number, since it is smaller than the sum of its proper divisors (278778240).

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

164099328 is an equidigital number, since it uses as much as digits as its factorization.

164099328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 164099328 is about 12810.1259946965. The cubic root of 164099328 is about 547.4808516895.

The spelling of 164099328 in words is "one hundred sixty-four million, ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 584 768 876 1168 1752 2336 2927 3504 4672 5854 7008 8781 9344 11708 14016 17562 18688 23416 28032 35124 46832 56064 70248 93664 140496 187328 213671 280992 374656 427342 561984 641013 749312 854684 1123968 1282026 1709368 2247936 2564052 3418736 5128104 6837472 10256208 13674944 20512416 27349888 41024832 54699776 82049664 164099328