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165264156 = 223229311509
BaseRepresentation
bin10011101100110…
…11101100011100
3102111222021210200
421312123230130
5314301423111
624222103500
74044502461
oct1166335434
9374867720
10165264156
1185318452
124741ab90
1328314855
1417d3d668
15e797256
hex9d9bb1c

165264156 has 72 divisors (see below), whose sum is σ = 434397600. Its totient is φ = 52913280.

The previous prime is 165264119. The next prime is 165264167. The reversal of 165264156 is 651462561.

165264156 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 641 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 165264156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324430 + ... + 324938.

It is an arithmetic number, because the mean of its divisors is an integer number (6033300).

Almost surely, 2165264156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165264156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217198800).

165264156 is an abundant number, since it is smaller than the sum of its proper divisors (269133444).

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

165264156 is a wasteful number, since it uses less digits than its factorization.

165264156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 854 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 165264156 is about 12855.5107249771. The cubic root of 165264156 is about 548.7731950560.

The spelling of 165264156 in words is "one hundred sixty-five million, two hundred sixty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 311 348 509 522 622 933 1018 1044 1244 1527 1866 2036 2799 3054 3732 4581 5598 6108 9019 9162 11196 14761 18038 18324 27057 29522 36076 44283 54114 59044 81171 88566 108228 132849 158299 162342 177132 265698 316598 324684 474897 531396 633196 949794 1424691 1899588 2849382 4590671 5698764 9181342 13772013 18362684 27544026 41316039 55088052 82632078 165264156