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796005 = 32572192
BaseRepresentation
bin11000010010101100101
31111102220200
43002111211
5200433010
625021113
76523500
oct3022545
91442820
10796005
114a4061
12324799
1321b412
1416a137
1510acc0
hexc2565

796005 has 54 divisors (see below), whose sum is σ = 1693926. Its totient is φ = 344736.

The previous prime is 796001. The next prime is 796009. The reversal of 796005 is 500697.

It is an interprime number because it is at equal distance from previous prime (796001) and next prime (796009).

It can be written as a sum of positive squares in only one way, i.e., 636804 + 159201 = 798^2 + 399^2 .

It is not a de Polignac number, because 796005 - 22 = 796001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 796005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796001) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41886 + ... + 41904.

It is an arithmetic number, because the mean of its divisors is an integer number (31369).

2796005 is an apocalyptic number.

It is an amenable number.

796005 is an abundant number, since it is smaller than the sum of its proper divisors (897921).

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

796005 is a wasteful number, since it uses less digits than its factorization.

796005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 796005 is about 892.1911230224. The cubic root of 796005 is about 92.6769925062.

It can be divided in two parts, 79 and 6005, that added together give a square (6084 = 782).

The spelling of 796005 in words is "seven hundred ninety-six thousand, five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 315 361 399 441 665 735 855 931 1083 1197 1805 1995 2205 2527 2793 3249 4655 5415 5985 7581 8379 12635 13965 16245 17689 22743 37905 41895 53067 88445 113715 159201 265335 796005