Search a number
-
+
196505973 = 3326327673
BaseRepresentation
bin10111011011001…
…11000101110101
3111200202112112000
423231213011311
5400301142343
631255445513
74604162466
oct1355470565
9450675460
10196505973
11a0a16934
1255986899
1331932b31
141c152d6d
15123b8ed3
hexbb67175

196505973 has 16 divisors (see below), whose sum is σ = 292237440. Its totient is φ = 130501152.

The previous prime is 196505971. The next prime is 196505977. The reversal of 196505973 is 379505691.

196505973 is a `hidden beast` number, since 1 + 9 + 6 + 50 + 597 + 3 = 666.

It is not a de Polignac number, because 196505973 - 21 = 196505971 is a prime.

It is a super-2 number, since 2×1965059732 = 77229194849353458, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196505971) 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 15 ways as a sum of consecutive naturals, for example, 6736 + ... + 20937.

It is an arithmetic number, because the mean of its divisors is an integer number (18264840).

Almost surely, 2196505973 is an apocalyptic number.

It is an amenable number.

196505973 is a deficient number, since it is larger than the sum of its proper divisors (95731467).

196505973 is a wasteful number, since it uses less digits than its factorization.

196505973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27945 (or 27939 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 196505973 is about 14018.0588171116. The cubic root of 196505973 is about 581.3779888809.

The spelling of 196505973 in words is "one hundred ninety-six million, five hundred five thousand, nine hundred seventy-three".

Divisors: 1 3 9 27 263 789 2367 7101 27673 83019 249057 747171 7277999 21833997 65501991 196505973