Search a number
-
+
820794 = 231317619
BaseRepresentation
bin11001000011000111010
31112200220210
43020120322
5202231134
625331550
76655662
oct3103072
91480823
10820794
11510747
12336bb6
132297a0
141751a2
151132e9
hexc863a

820794 has 32 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 237312.

The previous prime is 820793. The next prime is 820837. The reversal of 820794 is 497028.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (820793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

2820794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

820794 is an abundant number, since it is smaller than the sum of its proper divisors (1054086).

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

820794 is a wasteful number, since it uses less digits than its factorization.

820794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 820794 is about 905.9768208955. The cubic root of 820794 is about 93.6292169000.

It can be divided in two parts, 8 and 20794, that added together give a palindrome (20802).

The spelling of 820794 in words is "eight hundred twenty thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 619 663 1238 1326 1857 3714 8047 10523 16094 21046 24141 31569 48282 63138 136799 273598 410397 820794