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820541636 = 22727282167
BaseRepresentation
bin110000111010000…
…111100011000100
32010011222211111222
4300322013203010
53140024313021
6213231015512
726222326445
oct6072074304
92104884458
10820541636
113911a1092
121aa96a598
13100cc59c5
147ad952cc
154c0836ab
hex30e878c4

820541636 has 12 divisors (see below), whose sum is σ = 1437928128. Its totient is φ = 409705032.

The previous prime is 820541627. The next prime is 820541639. The reversal of 820541636 is 636145028.

It is a junction number, because it is equal to n+sod(n) for n = 820541596 and 820541605.

It is not an unprimeable number, because it can be changed into a prime (820541639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138176 + ... + 143991.

It is an arithmetic number, because the mean of its divisors is an integer number (119827344).

Almost surely, 2820541636 is an apocalyptic number.

It is an amenable number.

820541636 is a deficient number, since it is larger than the sum of its proper divisors (617386492).

820541636 is a wasteful number, since it uses less digits than its factorization.

820541636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282898 (or 282896 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 820541636 is about 28645.0979401363. The cubic root of 820541636 is about 936.1962006825.

The spelling of 820541636 in words is "eight hundred twenty million, five hundred forty-one thousand, six hundred thirty-six".

Divisors: 1 2 4 727 1454 2908 282167 564334 1128668 205135409 410270818 820541636