Search a number
-
+
2590042 = 2721319107
BaseRepresentation
bin1001111000010101011010
311212120212111
421320111122
51130340132
6131302534
731005100
oct11702532
94776774
102590042
111509a34
12a4aa4a
136c8b90
144b5c70
15362647
hex27855a

2590042 has 48 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 961632.

The previous prime is 2590039. The next prime is 2590051. The reversal of 2590042 is 2400952.

It is a happy number.

2590042 is nontrivially palindromic in base 9 and base 12.

2590042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2589995 and 2590022.

It is an unprimeable number.

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, 24153 + ... + 24259.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

22590042 is an apocalyptic number.

2590042 is a deficient number, since it is larger than the sum of its proper divisors (2580998).

2590042 is a wasteful number, since it uses less digits than its factorization.

2590042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2590042 is about 1609.3607426553. The cubic root of 2590042 is about 137.3311116512.

Adding to 2590042 its reverse (2400952), we get a palindrome (4990994).

The spelling of 2590042 in words is "two million, five hundred ninety thousand, forty-two".

Divisors: 1 2 7 13 14 19 26 38 49 91 98 107 133 182 214 247 266 494 637 749 931 1274 1391 1498 1729 1862 2033 2782 3458 4066 5243 9737 10486 12103 14231 19474 24206 26429 28462 52858 68159 99617 136318 185003 199234 370006 1295021 2590042