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795105 = 32517669
BaseRepresentation
bin11000010000111100001
31111101200100
43002013201
5200420410
625013013
76521043
oct3020741
91441610
10795105
114a3413
12324169
1321ab9c
14169a93
1510a8c0
hexc21e1

795105 has 12 divisors (see below), whose sum is σ = 1378260. Its totient is φ = 424032.

The previous prime is 795103. The next prime is 795121. The reversal of 795105 is 501597.

795105 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 576081 = 468^2 + 759^2 .

It is not a de Polignac number, because 795105 - 21 = 795103 is a prime.

It is a super-2 number, since 2×7951052 = 1264383922050, which contains 22 as substring.

795105 is strictly pandigital in base 7.

795105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (795101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8790 + ... + 8879.

It is an arithmetic number, because the mean of its divisors is an integer number (114855).

2795105 is an apocalyptic number.

It is an amenable number.

795105 is a deficient number, since it is larger than the sum of its proper divisors (583155).

795105 is a wasteful number, since it uses less digits than its factorization.

795105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17680 (or 17677 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 795105 is about 891.6866041385. The cubic root of 795105 is about 92.6420510387.

It can be divided in two parts, 795 and 105, that added together give a square (900 = 302).

The spelling of 795105 in words is "seven hundred ninety-five thousand, one hundred five".

Divisors: 1 3 5 9 15 45 17669 53007 88345 159021 265035 795105