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2590309 = 29179499
BaseRepresentation
bin1001111000011001100101
311212121020101
421320121211
51130342214
6131304101
731005631
oct11703145
94777211
102590309
11150a157
12a4b031
136c9037
144b5dc1
15362774
hex278665

2590309 has 8 divisors (see below), whose sum is σ = 2700000. Its totient is φ = 2482032.

The previous prime is 2590279. The next prime is 2590349. The reversal of 2590309 is 9030952.

2590309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2590309 is a prime.

It is a Duffinian number.

2590309 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590349) 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 7 ways as a sum of consecutive naturals, for example, 4942 + ... + 5440.

It is an arithmetic number, because the mean of its divisors is an integer number (337500).

22590309 is an apocalyptic number.

2590309 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2590309 is a deficient number, since it is larger than the sum of its proper divisors (109691).

2590309 is a wasteful number, since it uses less digits than its factorization.

2590309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 2590309 is about 1609.4436927088. The cubic root of 2590309 is about 137.3358305125.

The spelling of 2590309 in words is "two million, five hundred ninety thousand, three hundred nine".

Divisors: 1 29 179 499 5191 14471 89321 2590309