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820686965 = 57128918191
BaseRepresentation
bin110000111010101…
…011000001110101
32010012021012212112
4300322223001311
53140043440330
6213234100405
726223503240
oct6072530165
92105235775
10820686965
1139129029a
121aaa1a705
13101046bb7
147add2257
154c0b1795
hex30eab075

820686965 has 16 divisors (see below), whose sum is σ = 1126448640. Its totient is φ = 562289280.

The previous prime is 820686959. The next prime is 820686967. The reversal of 820686965 is 569686028.

820686965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820686965 - 212 = 820682869 is a prime.

It is a super-2 number, since 2×8206869652 = 1347054189041822450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820686967) 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, 36020 + ... + 54210.

It is an arithmetic number, because the mean of its divisors is an integer number (70403040).

Almost surely, 2820686965 is an apocalyptic number.

It is an amenable number.

820686965 is a deficient number, since it is larger than the sum of its proper divisors (305761675).

820686965 is a wasteful number, since it uses less digits than its factorization.

820686965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19492.

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 820686965 is about 28647.6345445833. The cubic root of 820686965 is about 936.2514684146.

The spelling of 820686965 in words is "eight hundred twenty million, six hundred eighty-six thousand, nine hundred sixty-five".

Divisors: 1 5 7 35 1289 6445 9023 18191 45115 90955 127337 636685 23448199 117240995 164137393 820686965