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830465 = 537672
BaseRepresentation
bin11001010110000000001
31120012011222
43022300001
5203033330
625444425
710026116
oct3126001
91505158
10830465
11517a39
12340715
13230ccc
1417890d
151160e5
hexcac01

830465 has 12 divisors (see below), whose sum is σ = 1038996. Its totient is φ = 636768.

The previous prime is 830449. The next prime is 830477. The reversal of 830465 is 564038.

It can be written as a sum of positive squares in 2 ways, for example, as 543169 + 287296 = 737^2 + 536^2 .

It is not a de Polignac number, because 830465 - 24 = 830449 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12362 + ... + 12428.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

It is a Proth number, since it is equal to 811 ⋅ 210 + 1 and 811 < 210.

2830465 is an apocalyptic number.

It is an amenable number.

830465 is a deficient number, since it is larger than the sum of its proper divisors (208531).

830465 is an equidigital number, since it uses as much as digits as its factorization.

830465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 830465 is about 911.2985240853. The cubic root of 830465 is about 93.9955105748.

The spelling of 830465 in words is "eight hundred thirty thousand, four hundred sixty-five".

Divisors: 1 5 37 67 185 335 2479 4489 12395 22445 166093 830465