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165042126 = 23237247811
BaseRepresentation
bin10011101011001…
…01011111001110
3102111120000020100
421311211133032
5314222322001
624213231530
74042556244
oct1165453716
9374500210
10165042126
1185186657
12473325a6
1328267782
1417cc2794
15e751586
hex9d657ce

165042126 has 24 divisors (see below), whose sum is σ = 367257384. Its totient is φ = 53526960.

The previous prime is 165042121. The next prime is 165042133. The reversal of 165042126 is 621240561.

165042126 is a `hidden beast` number, since 1 + 650 + 4 + 2 + 1 + 2 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 165042126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165042121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123240 + ... + 124571.

It is an arithmetic number, because the mean of its divisors is an integer number (15302391).

Almost surely, 2165042126 is an apocalyptic number.

165042126 is an abundant number, since it is smaller than the sum of its proper divisors (202215258).

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

165042126 is a wasteful number, since it uses less digits than its factorization.

165042126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247856 (or 247853 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 165042126 is about 12846.8722263437. The cubic root of 165042126 is about 548.5273286373.

Adding to 165042126 its reverse (621240561), we get a palindrome (786282687).

The spelling of 165042126 in words is "one hundred sixty-five million, forty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 247811 495622 743433 1486866 2230299 4460598 9169007 18338014 27507021 55014042 82521063 165042126