Search a number
-
+
2117047 = 3476101
BaseRepresentation
bin1000000100110110110111
310222120001011
420010312313
51020221142
6113213051
723665102
oct10046667
93876034
102117047
111216629
12861187
135917ba
143d1739
152bc417
hex204db7

2117047 has 4 divisors (see below), whose sum is σ = 2123496. Its totient is φ = 2110600.

The previous prime is 2117041. The next prime is 2117051. The reversal of 2117047 is 7407112.

2117047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2117047 - 23 = 2117039 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117041) 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 3 ways as a sum of consecutive naturals, for example, 2704 + ... + 3397.

It is an arithmetic number, because the mean of its divisors is an integer number (530874).

22117047 is an apocalyptic number.

2117047 is a deficient number, since it is larger than the sum of its proper divisors (6449).

2117047 is an equidigital number, since it uses as much as digits as its factorization.

2117047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448.

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 2117047 is about 1455.0075601178. The cubic root of 2117047 is about 128.4034915572.

Subtracting from 2117047 its sum of digits (22), we obtain a square (2117025 = 14552).

The spelling of 2117047 in words is "two million, one hundred seventeen thousand, forty-seven".

Divisors: 1 347 6101 2117047