Search a number
-
+
36966041 = 7217199223
BaseRepresentation
bin1000110100000…
…0111010011001
32120120001212122
42031000322121
533430403131
63400151025
7626130500
oct215007231
976501778
1036966041
1119959152
1210468475
1378738c8
144ca3837
1533a2d7b
hex2340e99

36966041 has 24 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 29538432.

The previous prime is 36966031. The next prime is 36966049. The reversal of 36966041 is 14066963.

It is not a de Polignac number, because 36966041 - 210 = 36965017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36965992 and 36966010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36966049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165656 + ... + 165878.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 236966041 is an apocalyptic number.

It is an amenable number.

36966041 is a deficient number, since it is larger than the sum of its proper divisors (8998759).

36966041 is a wasteful number, since it uses less digits than its factorization.

36966041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 36966041 is about 6079.9704769020. The cubic root of 36966041 is about 333.1202089853.

The spelling of 36966041 in words is "thirty-six million, nine hundred sixty-six thousand, forty-one".

Divisors: 1 7 17 49 119 199 223 833 1393 1561 3383 3791 9751 10927 23681 26537 44377 165767 185759 310639 754409 2174473 5280863 36966041