Search a number
-
+
164054064 = 2434772719
BaseRepresentation
bin10011100011101…
…00010000110000
3102102200210212110
421301310100300
5313444212224
624140125320
74031302506
oct1161642060
9372623773
10164054064
1184671279
1246b36840
1327cacb15
1417b06676
15e608929
hex9c74430

164054064 has 40 divisors (see below), whose sum is σ = 432829440. Its totient is φ = 53520448.

The previous prime is 164054039. The next prime is 164054069. The reversal of 164054064 is 460450461.

164054064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164054069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34104 + ... + 38615.

It is an arithmetic number, because the mean of its divisors is an integer number (10820736).

Almost surely, 2164054064 is an apocalyptic number.

It is an amenable number.

164054064 is an abundant number, since it is smaller than the sum of its proper divisors (268775376).

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

164054064 is a wasteful number, since it uses less digits than its factorization.

164054064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72777 (or 72771 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 164054064 is about 12808.3591454956. The cubic root of 164054064 is about 547.4305093097.

The spelling of 164054064 in words is "one hundred sixty-four million, fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 72719 145438 218157 290876 436314 581752 872628 1163504 1745256 3417793 3490512 6835586 10253379 13671172 20506758 27342344 41013516 54684688 82027032 164054064