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20130617 = 13472701
BaseRepresentation
bin100110011001…
…0101100111001
31101212202000102
41030302230321
520123134432
61555245145
7333051563
oct114625471
941782012
1020130617
11103aa481
1268a97b5
13422aa10
142960333
151b79962
hex1332b39

20130617 has 12 divisors (see below), whose sum is σ = 22181796. Its totient is φ = 18160800.

The previous prime is 20130599. The next prime is 20130647. The reversal of 20130617 is 71603102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10214416 + 9916201 = 3196^2 + 3149^2 .

It is not a de Polignac number, because 20130617 - 218 = 19868473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20130647) 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 11 ways as a sum of consecutive naturals, for example, 28367 + ... + 29067.

It is an arithmetic number, because the mean of its divisors is an integer number (1848483).

Almost surely, 220130617 is an apocalyptic number.

It is an amenable number.

20130617 is a deficient number, since it is larger than the sum of its proper divisors (2051179).

20130617 is an equidigital number, since it uses as much as digits as its factorization.

20130617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 20130617 is about 4486.7156138984. The cubic root of 20130617 is about 272.0313950569.

Adding to 20130617 its reverse (71603102), we get a palindrome (91733719).

The spelling of 20130617 in words is "twenty million, one hundred thirty thousand, six hundred seventeen".

Divisors: 1 13 47 611 701 2209 9113 28717 32947 428311 1548509 20130617