Search a number
-
+
990385 = 51121637
BaseRepresentation
bin11110001110010110001
31212022112221
43301302301
5223143020
633121041
711263264
oct3616261
91768487
10990385
11617100
123b9181
13288a36
141bacdb
151486aa
hexf1cb1

990385 has 12 divisors (see below), whose sum is σ = 1307124. Its totient is φ = 719840.

The previous prime is 990383. The next prime is 990389. The reversal of 990385 is 583099.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 833569 = 396^2 + 913^2 .

It is not a de Polignac number, because 990385 - 21 = 990383 is a prime.

It is a Duffinian number.

990385 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 990385.

It is not an unprimeable number, because it can be changed into a prime (990383) 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 11 ways as a sum of consecutive naturals, for example, 214 + ... + 1423.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

2990385 is an apocalyptic number.

It is an amenable number.

990385 is a deficient number, since it is larger than the sum of its proper divisors (316739).

990385 is a wasteful number, since it uses less digits than its factorization.

990385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 990385 is about 995.1808880802. The cubic root of 990385 is about 99.6784672751.

The spelling of 990385 in words is "nine hundred ninety thousand, three hundred eighty-five".

Divisors: 1 5 11 55 121 605 1637 8185 18007 90035 198077 990385