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163105506 = 232731011229
BaseRepresentation
bin10011011100011…
…00101011100010
3102100220121200200
421232030223202
5313223334011
624103530030
74020242154
oct1156145342
9370817620
10163105506
1184083643
1246759916
1327a3a145
141793aad4
15e4bc856
hex9b8cae2

163105506 has 48 divisors (see below), whose sum is σ = 362077560. Its totient is φ = 53049600.

The previous prime is 163105469. The next prime is 163105507. The reversal of 163105506 is 605501361.

It is a happy number.

163105506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 151511481 + 11594025 = 12309^2 + 3405^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 163105506.

It is not an unprimeable number, because it can be changed into a prime (163105507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132100 + ... + 133328.

Almost surely, 2163105506 is an apocalyptic number.

163105506 is an abundant number, since it is smaller than the sum of its proper divisors (198972054).

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

163105506 is a wasteful number, since it uses less digits than its factorization.

163105506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 163105506 is about 12771.2766002464. The cubic root of 163105506 is about 546.3733910922.

Adding to 163105506 its reverse (605501361), we get a palindrome (768606867).

The spelling of 163105506 in words is "one hundred sixty-three million, one hundred five thousand, five hundred six".

Divisors: 1 2 3 6 9 18 73 101 146 202 219 303 438 606 657 909 1229 1314 1818 2458 3687 7373 7374 11061 14746 22119 22122 44238 66357 89717 124129 132714 179434 248258 269151 372387 538302 744774 807453 1117161 1614906 2234322 9061417 18122834 27184251 54368502 81552753 163105506