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164543104 = 2711235081
BaseRepresentation
bin10011100111010…
…11101010000000
3102110121122201001
421303223222000
5314110334404
624154421344
74035410335
oct1163535200
9373548631
10164543104
1184975740
1247131854
13281215ab
1417bd298c
15e6a37a4
hex9ceba80

164543104 has 64 divisors (see below), whose sum is σ = 373222080. Its totient is φ = 71526400.

The previous prime is 164543087. The next prime is 164543117. The reversal of 164543104 is 401345461.

It is a tau number, because it is divible by the number of its divisors (64).

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, 29844 + ... + 34924.

It is an arithmetic number, because the mean of its divisors is an integer number (5831595).

Almost surely, 2164543104 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 164543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186611040).

164543104 is an abundant number, since it is smaller than the sum of its proper divisors (208678976).

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

164543104 is a wasteful number, since it uses less digits than its factorization.

164543104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 164543104 is about 12827.4355971878. The cubic root of 164543104 is about 547.9739274007.

Adding to 164543104 its reverse (401345461), we get a palindrome (565888565).

The spelling of 164543104 in words is "one hundred sixty-four million, five hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 5081 8096 10162 16192 20324 32384 40648 55891 81296 111782 116863 162592 223564 233726 325184 447128 467452 650368 894256 934904 1285493 1788512 1869808 2570986 3577024 3739616 5141972 7154048 7479232 10283944 14958464 20567888 41135776 82271552 164543104