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164023146 = 232737151233
BaseRepresentation
bin10011100011011…
…00101101101010
3102102122020110100
421301230231222
5313442220041
624135330230
74031113410
oct1161545552
9372566410
10164023146
1184650021
1246b20976
1327c9ba21
1417ad92b0
15e5ee6b6
hex9c6cb6a

164023146 has 96 divisors (see below), whose sum is σ = 421694208. Its totient is φ = 45100800.

The previous prime is 164023129. The next prime is 164023147. The reversal of 164023146 is 641320461.

164023146 is a `hidden beast` number, since 1 + 640 + 2 + 3 + 14 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (164023147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703846 + ... + 704078.

It is an arithmetic number, because the mean of its divisors is an integer number (4392648).

Almost surely, 2164023146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164023146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210847104).

164023146 is an abundant number, since it is smaller than the sum of its proper divisors (257671062).

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

164023146 is a wasteful number, since it uses less digits than its factorization.

164023146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164023146 is about 12807.1521424554. The cubic root of 164023146 is about 547.3961171517.

The spelling of 164023146 in words is "one hundred sixty-four million, twenty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 151 222 233 259 302 333 453 466 518 666 699 777 906 1057 1359 1398 1554 1631 2097 2114 2331 2718 3171 3262 4194 4662 4893 5587 6342 8621 9513 9786 11174 14679 16761 17242 19026 25863 29358 33522 35183 39109 50283 51726 60347 70366 77589 78218 100566 105549 117327 120694 155178 181041 211098 234654 246281 316647 351981 362082 492562 543123 633294 703962 738843 1086246 1301771 1477686 2216529 2603542 3905313 4433058 7810626 9112397 11715939 18224794 23431878 27337191 54674382 82011573 164023146