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7820361 = 33289643
BaseRepresentation
bin11101110101010001001001
3112201022112000
4131311101021
54000222421
6435341213
7123320613
oct35652111
915638460
107820361
11446160a
122751809
13180a743
141077db3
15a47226
hex775449

7820361 has 8 divisors (see below), whose sum is σ = 11585760. Its totient is φ = 5213556.

The previous prime is 7820359. The next prime is 7820369. The reversal of 7820361 is 1630287.

7820361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7820361 - 21 = 7820359 is a prime.

It is a super-2 number, since 2×78203612 = 122316092340642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 289643 = 7820361 / (7 + 8 + 2 + 0 + 3 + 6 + 1).

7820361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7820369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144795 + ... + 144848.

It is an arithmetic number, because the mean of its divisors is an integer number (1448220).

Almost surely, 27820361 is an apocalyptic number.

It is an amenable number.

7820361 is a deficient number, since it is larger than the sum of its proper divisors (3765399).

7820361 is a wasteful number, since it uses less digits than its factorization.

7820361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289652 (or 289646 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7820361 is about 2796.4908367452. The cubic root of 7820361 is about 198.4916615049.

The spelling of 7820361 in words is "seven million, eight hundred twenty thousand, three hundred sixty-one".

Divisors: 1 3 9 27 289643 868929 2606787 7820361