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590113 = 3741389
BaseRepresentation
bin10010000000100100001
31002222111001
42100010201
5122340423
620352001
75005306
oct2200441
91088431
10590113
113733a7
12245601
131787a4
141150ad
15b9cad
hex90121

590113 has 8 divisors (see below), whose sum is σ = 622440. Its totient is φ = 558720.

The previous prime is 590099. The next prime is 590119. The reversal of 590113 is 311095.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 567009 = 152^2 + 753^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 590113 - 29 = 589601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (590119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1323 + ... + 1711.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

2590113 is an apocalyptic number.

It is an amenable number.

590113 is a deficient number, since it is larger than the sum of its proper divisors (32327).

590113 is a wasteful number, since it uses less digits than its factorization.

590113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 590113 is about 768.1881279999. The cubic root of 590113 is about 83.8774194677.

It can be divided in two parts, 590 and 113, that added together give a triangular number (703 = T37).

The spelling of 590113 in words is "five hundred ninety thousand, one hundred thirteen".

Divisors: 1 37 41 389 1517 14393 15949 590113