Search a number
-
+
12205947 = 313476659
BaseRepresentation
bin101110100011…
…111101111011
3211222010102010
4232203331323
511111042242
61113341003
7205514565
oct56437573
924863363
1012205947
116987566
124107763
1326b4970
14189a335
15111189c
hexba3f7b

12205947 has 16 divisors (see below), whose sum is σ = 17902080. Its totient is φ = 7350432.

The previous prime is 12205933. The next prime is 12205957. The reversal of 12205947 is 74950221.

12205947 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12205947 - 28 = 12205691 is a prime.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12205957) 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, 1497 + ... + 5162.

It is an arithmetic number, because the mean of its divisors is an integer number (1118880).

Almost surely, 212205947 is an apocalyptic number.

12205947 is a deficient number, since it is larger than the sum of its proper divisors (5696133).

12205947 is a wasteful number, since it uses less digits than its factorization.

12205947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 12205947 is about 3493.7010461687. The cubic root of 12205947 is about 230.2451513348.

The spelling of 12205947 in words is "twelve million, two hundred five thousand, nine hundred forty-seven".

Divisors: 1 3 13 39 47 141 611 1833 6659 19977 86567 259701 312973 938919 4068649 12205947