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830360 = 23520759
BaseRepresentation
bin11001010101110011000
31120012001002
43022232120
5203032420
625444132
710025606
oct3125630
91505032
10830360
11517953
12340648
13230c4b
14178876
15116075
hexcab98

830360 has 16 divisors (see below), whose sum is σ = 1868400. Its totient is φ = 332128.

The previous prime is 830359. The next prime is 830363. The reversal of 830360 is 63038.

830360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830363) 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, 10340 + ... + 10419.

It is an arithmetic number, because the mean of its divisors is an integer number (116775).

2830360 is an apocalyptic number.

It is an amenable number.

830360 is an abundant number, since it is smaller than the sum of its proper divisors (1038040).

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

830360 is a wasteful number, since it uses less digits than its factorization.

830360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20770 (or 20766 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 830360 is about 911.2409121632. The cubic root of 830360 is about 93.9915489611.

Subtracting from 830360 its product of nonzero digits (432), we obtain a palindrome (829928).

Adding to 830360 its reverse (63038), we get a palindrome (893398).

The spelling of 830360 in words is "eight hundred thirty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 20759 41518 83036 103795 166072 207590 415180 830360