Search a number
-
+
2016693 = 327217269
BaseRepresentation
bin111101100010110110101
310210110101100
413230112311
51004013233
6111120313
723066400
oct7542665
93713340
102016693
111158198
12813099
13557c13
143a6d37
1529c813
hex1ec5b5

2016693 has 36 divisors (see below), whose sum is σ = 3601260. Its totient is φ = 1080576.

The previous prime is 2016691. The next prime is 2016697. The reversal of 2016693 is 3966102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 777924 + 1238769 = 882^2 + 1113^2 .

It is not a de Polignac number, because 2016693 - 21 = 2016691 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7363 + ... + 7631.

It is an arithmetic number, because the mean of its divisors is an integer number (100035).

22016693 is an apocalyptic number.

It is an amenable number.

2016693 is a deficient number, since it is larger than the sum of its proper divisors (1584567).

2016693 is a wasteful number, since it uses less digits than its factorization.

2016693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2016693 is about 1420.1031652665. The cubic root of 2016693 is about 126.3416652856.

The spelling of 2016693 in words is "two million, sixteen thousand, six hundred ninety-three".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 269 357 441 807 833 1071 1883 2421 2499 4573 5649 7497 13181 13719 16947 32011 39543 41157 96033 118629 224077 288099 672231 2016693