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164043568 = 241321931103
BaseRepresentation
bin10011100011100…
…01101100110000
3102102200021110201
421301301230300
5313443343233
624140004544
74031230063
oct1161615460
9372607421
10164043568
11846643a7
1246b30754
1327ca8100
1417b028da
15e60577d
hex9c71b30

164043568 has 120 divisors (see below), whose sum is σ = 377594880. Its totient is φ = 68739840.

The previous prime is 164043563. The next prime is 164043577. The reversal of 164043568 is 865340461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (164043563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1592605 + ... + 1592707.

It is an arithmetic number, because the mean of its divisors is an integer number (3146624).

Almost surely, 2164043568 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 164043568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188797440).

164043568 is an abundant number, since it is smaller than the sum of its proper divisors (213551312).

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

164043568 is a wasteful number, since it uses less digits than its factorization.

164043568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 164043568 is about 12807.9494065209. The cubic root of 164043568 is about 547.4188343918.

The spelling of 164043568 in words is "one hundred sixty-four million, forty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 62 76 103 104 124 152 169 206 208 247 248 304 338 403 412 494 496 589 676 806 824 988 1178 1339 1352 1612 1648 1957 1976 2356 2678 2704 3193 3211 3224 3914 3952 4712 5239 5356 6386 6422 6448 7657 7828 9424 10478 10712 12772 12844 15314 15656 17407 20956 21424 25441 25544 25688 30628 31312 34814 41509 41912 50882 51088 51376 60667 61256 69628 83018 83824 99541 101764 121334 122512 139256 166036 199082 203528 242668 278512 330733 332072 398164 407056 485336 539617 661466 664144 788671 796328 970672 1079234 1322932 1577342 1592656 2158468 2645864 3154684 4316936 5291728 6309368 8633872 10252723 12618736 20505446 41010892 82021784 164043568