Search a number
-
+
820834756 = 22729315527
BaseRepresentation
bin110000111011001…
…111000111000100
32010012112201121021
4300323033013010
53140113203011
6213241200524
726224660150
oct6073170704
92105481537
10820834756
11391381335
121aaa90144
13101099251
147b030060
154c0e0471
hex30ecf1c4

820834756 has 12 divisors (see below), whose sum is σ = 1641669568. Its totient is φ = 351786312.

The previous prime is 820834733. The next prime is 820834757. The reversal of 820834756 is 657438028.

820834756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

820834756 is an admirable number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (820834757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14657736 + ... + 14657791.

Almost surely, 2820834756 is an apocalyptic number.

It is an amenable number.

820834756 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

820834756 is a wasteful number, since it uses less digits than its factorization.

820834756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29315538 (or 29315536 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 820834756 is about 28650.2138909991. The cubic root of 820834756 is about 936.3076657393.

The spelling of 820834756 in words is "eight hundred twenty million, eight hundred thirty-four thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 28 29315527 58631054 117262108 205208689 410417378 820834756