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7820676 = 2232217241
BaseRepresentation
bin11101110101010110000100
3112201022221200
4131311112010
54000230201
6435342500
7123321543
oct35652604
915638850
107820676
114461876
122751a30
13180a926
14107815a
15a47386
hex775584

7820676 has 18 divisors (see below), whose sum is σ = 19769022. Its totient is φ = 2606880.

The previous prime is 7820671. The next prime is 7820677. The reversal of 7820676 is 6760287.

It can be written as a sum of positive squares in only one way, i.e., 6380676 + 1440000 = 2526^2 + 1200^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×78206762 = 122325946193952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 217241 = 7820676 / (7 + 8 + 2 + 0 + 6 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 7820676.

It is not an unprimeable number, because it can be changed into a prime (7820671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108585 + ... + 108656.

It is an arithmetic number, because the mean of its divisors is an integer number (1098279).

Almost surely, 27820676 is an apocalyptic number.

It is an amenable number.

7820676 is an abundant number, since it is smaller than the sum of its proper divisors (11948346).

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

7820676 is a wasteful number, since it uses less digits than its factorization.

7820676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217251 (or 217246 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7820676 is about 2796.5471567631. The cubic root of 7820676 is about 198.4943265155.

The spelling of 7820676 in words is "seven million, eight hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 217241 434482 651723 868964 1303446 1955169 2606892 3910338 7820676