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20165193 = 342411033
BaseRepresentation
bin100110011101…
…1001001001001
31101221111110000
41030323021021
520130241233
62000113213
7333254436
oct114731111
941844400
1020165193
1110423454
126905809
134240689
14296cb8d
151b84d13
hex133b249

20165193 has 20 divisors (see below), whose sum is σ = 30277588. Its totient is φ = 13374720.

The previous prime is 20165183. The next prime is 20165203. The reversal of 20165193 is 39156102.

20165193 is a `hidden beast` number, since 2 + 0 + 1 + 651 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (20165183) and next prime (20165203).

It can be written as a sum of positive squares in 2 ways, for example, as 17740944 + 2424249 = 4212^2 + 1557^2 .

It is not a de Polignac number, because 20165193 - 25 = 20165161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20165143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19005 + ... + 20037.

Almost surely, 220165193 is an apocalyptic number.

It is an amenable number.

20165193 is a deficient number, since it is larger than the sum of its proper divisors (10112395).

20165193 is a wasteful number, since it uses less digits than its factorization.

20165193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 20165193 is about 4490.5671134056. The cubic root of 20165193 is about 272.1870514483.

The spelling of 20165193 in words is "twenty million, one hundred sixty-five thousand, one hundred ninety-three".

Divisors: 1 3 9 27 81 241 723 1033 2169 3099 6507 9297 19521 27891 83673 248953 746859 2240577 6721731 20165193