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505986 = 23132499
BaseRepresentation
bin1111011100010000010
3221201002020
41323202002
5112142421
614502310
74205115
oct1734202
9851066
10505986
11316178
12204996
13149400
14d257c
159edc6
hex7b882

505986 has 24 divisors (see below), whose sum is σ = 1098000. Its totient is φ = 155376.

The previous prime is 505979. The next prime is 506047. The reversal of 505986 is 689505.

It is a Curzon number.

It is an unprimeable number.

505986 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (45750).

2505986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549000).

505986 is an abundant number, since it is smaller than the sum of its proper divisors (592014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505986 is a wasteful number, since it uses less digits than its factorization.

505986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 505986 is about 711.3269290558. The cubic root of 505986 is about 79.6855363607.

The spelling of 505986 in words is "five hundred five thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 499 507 998 1014 1497 2994 6487 12974 19461 38922 84331 168662 252993 505986