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164074065 = 35231732749
BaseRepresentation
bin10011100011110…
…01001001010001
3102102201211022020
421301321021101
5314000332230
624140402053
74031415021
oct1161711121
9372654266
10164074065
1184685301
1246b46329
1327cb8c5c
1417b0da81
15e60e810
hex9c79251

164074065 has 32 divisors (see below), whose sum is σ = 275616000. Its totient is φ = 83187456.

The previous prime is 164074037. The next prime is 164074069. The reversal of 164074065 is 560470461.

It is not a de Polignac number, because 164074065 - 211 = 164072017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164074069) 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 31 ways as a sum of consecutive naturals, for example, 58311 + ... + 61059.

It is an arithmetic number, because the mean of its divisors is an integer number (8613000).

Almost surely, 2164074065 is an apocalyptic number.

164074065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164074065 is a deficient number, since it is larger than the sum of its proper divisors (111541935).

164074065 is a wasteful number, since it uses less digits than its factorization.

164074065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 164074065 is about 12809.1399008677. The cubic root of 164074065 is about 547.4527554571.

Multiplying 164074065 by its sum of digits (33), we get a palindrome (5414444145).

The spelling of 164074065 in words is "one hundred sixty-four million, seventy-four thousand, sixty-five".

Divisors: 1 3 5 15 23 69 115 173 345 519 865 2595 2749 3979 8247 11937 13745 19895 41235 59685 63227 189681 316135 475577 948405 1426731 2377885 7133655 10938271 32814813 54691355 164074065