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165248 = 271291
BaseRepresentation
bin101000010110000000
322101200022
4220112000
520241443
63313012
71255526
oct502600
9271608
10165248
11103176
127b768
135a2a5
1444316
1533e68
hex28580

165248 has 16 divisors (see below), whose sum is σ = 329460. Its totient is φ = 82560.

The previous prime is 165247. The next prime is 165287. The reversal of 165248 is 842561.

165248 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165248.

It is not an unprimeable number, because it can be changed into a prime (165247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518 + ... + 773.

165248 is a Friedman number, since it can be written as 128*(6^4-5), using all its digits and the basic arithmetic operations.

2165248 is an apocalyptic number.

It is an amenable number.

165248 is a deficient number, since it is larger than the sum of its proper divisors (164212).

165248 is an equidigital number, since it uses as much as digits as its factorization.

165248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1293 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 165248 is about 406.5070725092. The cubic root of 165248 is about 54.8755312032.

The spelling of 165248 in words is "one hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 1291 2582 5164 10328 20656 41312 82624 165248