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165184056 = 23337110771
BaseRepresentation
bin10011101100010…
…00001000111000
3102111211012221000
421312020020320
5314241342211
624220245000
74044020112
oct1166101070
9374735830
10165184056
1185273254
12473a0760
13282b725b
1417d1c3b2
15e77d656
hex9d88238

165184056 has 64 divisors (see below), whose sum is σ = 465350400. Its totient is φ = 54280800.

The previous prime is 165184013. The next prime is 165184073. The reversal of 165184056 is 650481561.

It is a super-2 number, since 2×1651840562 = 54571544713222272, which contains 22 as substring.

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 165184056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9951 + ... + 20721.

It is an arithmetic number, because the mean of its divisors is an integer number (7271100).

Almost surely, 2165184056 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 165184056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232675200).

165184056 is an abundant number, since it is smaller than the sum of its proper divisors (300166344).

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

165184056 is a wasteful number, since it uses less digits than its factorization.

165184056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165184056 is about 12852.3949519146. The cubic root of 165184056 is about 548.6845211868.

The spelling of 165184056 in words is "one hundred sixty-five million, one hundred eighty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3834 5112 7668 10771 15336 21542 32313 43084 64626 86168 96939 129252 193878 258504 290817 387756 581634 764741 775512 1163268 1529482 2294223 2326536 3058964 4588446 6117928 6882669 9176892 13765338 18353784 20648007 27530676 41296014 55061352 82592028 165184056