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164730168 = 23327928961
BaseRepresentation
bin10011101000110…
…01010100111000
3102110222011022100
421310121110320
5314132331133
624202423400
74040116611
oct1164312470
9373864270
10164730168
1184a93239
1247201b60
1328188795
1417c40c08
15e6dde13
hex9d19538

164730168 has 48 divisors (see below), whose sum is σ = 451807200. Its totient is φ = 54213120.

The previous prime is 164730161. The next prime is 164730173. The reversal of 164730168 is 861037461.

164730168 is a `hidden beast` number, since 1 + 647 + 3 + 0 + 1 + 6 + 8 = 666.

164730168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164730161) 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 11 ways as a sum of consecutive naturals, for example, 8793 + ... + 20168.

It is an arithmetic number, because the mean of its divisors is an integer number (9412650).

Almost surely, 2164730168 is an apocalyptic number.

164730168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164730168 is an abundant number, since it is smaller than the sum of its proper divisors (287077032).

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

164730168 is a wasteful number, since it uses less digits than its factorization.

164730168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29052 (or 29045 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 164730168 is about 12834.7250847067. The cubic root of 164730168 is about 548.1815069982.

The spelling of 164730168 in words is "one hundred sixty-four million, seven hundred thirty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 28961 57922 86883 115844 173766 231688 260649 347532 521298 695064 1042596 2085192 2287919 4575838 6863757 9151676 13727514 18303352 20591271 27455028 41182542 54910056 82365084 164730168