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164060232 = 23372612287
BaseRepresentation
bin10011100011101…
…01110001001000
3102102201010022220
421301311301020
5313444411412
624140214040
74031326500
oct1161656110
9372633286
10164060232
1184675976
1246b3a320
1327cb287b
1417b08a00
15e60a68c
hex9c75c48

164060232 has 96 divisors (see below), whose sum is σ = 485147520. Its totient is φ = 46085760.

The previous prime is 164060227. The next prime is 164060233. The reversal of 164060232 is 232060461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (164060233) 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, 70593 + ... + 72879.

It is an arithmetic number, because the mean of its divisors is an integer number (5053620).

Almost surely, 2164060232 is an apocalyptic number.

164060232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164060232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242573760).

164060232 is an abundant number, since it is smaller than the sum of its proper divisors (321087288).

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

164060232 is a wasteful number, since it uses less digits than its factorization.

164060232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 164060232 is about 12808.5999234889. The cubic root of 164060232 is about 547.4373698713.

The spelling of 164060232 in words is "one hundred sixty-four million, sixty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 61 84 98 122 147 168 183 196 244 294 366 392 427 488 588 732 854 1176 1281 1464 1708 2287 2562 2989 3416 4574 5124 5978 6861 8967 9148 10248 11956 13722 16009 17934 18296 23912 27444 32018 35868 48027 54888 64036 71736 96054 112063 128072 139507 192108 224126 279014 336189 384216 418521 448252 558028 672378 837042 896504 976549 1116056 1344756 1674084 1953098 2689512 2929647 3348168 3906196 5859294 6835843 7812392 11718588 13671686 20507529 23437176 27343372 41015058 54686744 82030116 164060232