Search a number
-
+
828930 = 23527631
BaseRepresentation
bin11001010011000000010
31120010002010
43022120002
5203011210
625433350
710021464
oct3123002
91503063
10828930
11516873
1233b856
132303bb
14178134
15115920
hexca602

828930 has 16 divisors (see below), whose sum is σ = 1989504. Its totient is φ = 221040.

The previous prime is 828923. The next prime is 828941. The reversal of 828930 is 39828.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 27631 = 828930 / (8 + 2 + 8 + 9 + 3 + 0).

It is a Curzon number.

It is an unprimeable number.

828930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13786 + ... + 13845.

It is an arithmetic number, because the mean of its divisors is an integer number (124344).

2828930 is an apocalyptic number.

828930 is an abundant number, since it is smaller than the sum of its proper divisors (1160574).

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

828930 is a wasteful number, since it uses less digits than its factorization.

828930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27641.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 828930 is about 910.4559297407. The cubic root of 828930 is about 93.9375622784.

The spelling of 828930 in words is "eight hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 27631 55262 82893 138155 165786 276310 414465 828930