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165355136 = 272934409
BaseRepresentation
bin10011101101100…
…01111010000000
3102112010220121022
421312301322000
5314312331021
624224045012
74045331642
oct1166617200
9375126538
10165355136
118537a841
1247463768
132834709b
1417d64892
15e7b41ab
hex9db1e80

165355136 has 32 divisors (see below), whose sum is σ = 330617700. Its totient is φ = 82376704.

The previous prime is 165355133. The next prime is 165355139. The reversal of 165355136 is 631553561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165355133) and next prime (165355139).

It can be written as a sum of positive squares in 2 ways, for example, as 165276736 + 78400 = 12856^2 + 280^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 165355096 and 165355105.

It is not an unprimeable number, because it can be changed into a prime (165355133) 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 3 ways as a sum of consecutive naturals, for example, 35300 + ... + 39708.

Almost surely, 2165355136 is an apocalyptic number.

165355136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165355136 is a deficient number, since it is larger than the sum of its proper divisors (165262564).

165355136 is an equidigital number, since it uses as much as digits as its factorization.

165355136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4704 counting only the distinct ones).

The product of its digits is 40500, while the sum is 35.

The square root of 165355136 is about 12859.0487984143. The cubic root of 165355136 is about 548.8738787683.

The spelling of 165355136 in words is "one hundred sixty-five million, three hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 293 586 1172 2344 4409 4688 8818 9376 17636 18752 35272 37504 70544 141088 282176 564352 1291837 2583674 5167348 10334696 20669392 41338784 82677568 165355136