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164013126 = 23315931487
BaseRepresentation
bin10011100011010…
…10010001000110
3102102121201201020
421301222101012
5313441410001
624135212010
74031042244
oct1161522106
9372551636
10164013126
1184643542
1246b17006
1327c972b4
1417ad5794
15e5eb736
hex9c6a446

164013126 has 32 divisors (see below), whose sum is σ = 339406848. Its totient is φ = 52782720.

The previous prime is 164013103. The next prime is 164013133. The reversal of 164013126 is 621310461.

164013126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164013096 and 164013105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109555 + ... + 111041.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2164013126 is an apocalyptic number.

164013126 is an abundant number, since it is smaller than the sum of its proper divisors (175393722).

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

164013126 is a wasteful number, since it uses less digits than its factorization.

164013126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 164013126 is about 12806.7609488114. The cubic root of 164013126 is about 547.3849703086.

Adding to 164013126 its reverse (621310461), we get a palindrome (785323587).

The spelling of 164013126 in words is "one hundred sixty-four million, thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 31 62 93 186 593 1186 1487 1779 2974 3558 4461 8922 18383 36766 46097 55149 92194 110298 138291 276582 881791 1763582 2645373 5290746 27335521 54671042 82006563 164013126