Search a number
-
+
163505106 = 23253367467
BaseRepresentation
bin10011011111011…
…10001111010010
3102101122220211200
421233232033102
5313324130411
624120252030
74023525162
oct1157561722
9371586750
10163505106
1184326896
1246911016
1327b49cab
1417a025a2
15e54ae56
hex9bee3d2

163505106 has 48 divisors (see below), whose sum is σ = 362703744. Its totient is φ = 53213472.

The previous prime is 163505101. The next prime is 163505117. The reversal of 163505106 is 601505361.

It is a happy number.

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 163505106.

It is not an unprimeable number, because it can be changed into a prime (163505101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349885 + ... + 350351.

It is an arithmetic number, because the mean of its divisors is an integer number (7556328).

Almost surely, 2163505106 is an apocalyptic number.

163505106 is an abundant number, since it is smaller than the sum of its proper divisors (199198638).

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

163505106 is a wasteful number, since it uses less digits than its factorization.

163505106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 892 counting only the distinct ones).

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

The square root of 163505106 is about 12786.9115113854. The cubic root of 163505106 is about 546.8192226585.

The spelling of 163505106 in words is "one hundred sixty-three million, five hundred five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 53 106 159 318 367 467 477 734 934 954 1101 1401 2202 2802 3303 4203 6606 8406 19451 24751 38902 49502 58353 74253 116706 148506 171389 175059 222759 342778 350118 445518 514167 1028334 1542501 3085002 9083617 18167234 27250851 54501702 81752553 163505106