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165032056 = 23717229757
BaseRepresentation
bin10011101011000…
…11000001111000
3102111112111102101
421311203001320
5314222011211
624213113144
74042515010
oct1165430170
9374474371
10165032056
118517a032
12473287b4
1328263007
1417cbcc40
15e74d5c1
hex9d63078

165032056 has 64 divisors (see below), whose sum is σ = 376574400. Its totient is φ = 66189312.

The previous prime is 165032047. The next prime is 165032057. The reversal of 165032056 is 650230561.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165032057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217630 + ... + 218386.

It is an arithmetic number, because the mean of its divisors is an integer number (5883975).

Almost surely, 2165032056 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 165032056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188287200).

165032056 is an abundant number, since it is smaller than the sum of its proper divisors (211542344).

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

165032056 is a wasteful number, since it uses less digits than its factorization.

165032056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 165032056 is about 12846.4802961745. The cubic root of 165032056 is about 548.5161723289.

The spelling of 165032056 in words is "one hundred sixty-five million, thirty-two thousand, fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 229 238 458 476 757 916 952 1514 1603 1832 3028 3206 3893 5299 6056 6412 7786 10598 12824 12869 15572 21196 25738 27251 31144 42392 51476 54502 90083 102952 109004 173353 180166 218008 346706 360332 693412 720664 1213471 1386824 2426942 2947001 4853884 5894002 9707768 11788004 20629007 23576008 41258014 82516028 165032056