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2590189 = 7252861
BaseRepresentation
bin1001111000010111101101
311212121001221
421320113231
51130341224
6131303341
731005400
oct11702755
94777057
102590189
11150a058
12a4ab51
136c8c74
144b5d37
153626e4
hex2785ed

2590189 has 6 divisors (see below), whose sum is σ = 3013134. Its totient is φ = 2220120.

The previous prime is 2590183. The next prime is 2590223. The reversal of 2590189 is 9810952.

It can be written as a sum of positive squares in only one way, i.e., 2350089 + 240100 = 1533^2 + 490^2 .

It is not a de Polignac number, because 2590189 - 25 = 2590157 is a prime.

It is a super-3 number, since 3×25901893 = 52133348310776763807, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590183) 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 5 ways as a sum of consecutive naturals, for example, 26382 + ... + 26479.

It is an arithmetic number, because the mean of its divisors is an integer number (502189).

22590189 is an apocalyptic number.

It is an amenable number.

2590189 is a deficient number, since it is larger than the sum of its proper divisors (422945).

2590189 is an equidigital number, since it uses as much as digits as its factorization.

2590189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52875 (or 52868 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 2590189 is about 1609.4064123148. The cubic root of 2590189 is about 137.3337097161. Note that the first 3 decimals are identical.

The spelling of 2590189 in words is "two million, five hundred ninety thousand, one hundred eighty-nine".

Divisors: 1 7 49 52861 370027 2590189