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830991 = 3725653
BaseRepresentation
bin11001010111000001111
31120012220110
43022320033
5203042431
625451103
710030500
oct3127017
91505813
10830991
11518377
12340a93
13231315
14178ba7
15116346
hexcae0f

830991 has 12 divisors (see below), whose sum is σ = 1289112. Its totient is φ = 474768.

The previous prime is 830989. The next prime is 831023. The reversal of 830991 is 199038.

It is a happy number.

It is not a de Polignac number, because 830991 - 21 = 830989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2680 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (107426).

2830991 is an apocalyptic number.

830991 is a deficient number, since it is larger than the sum of its proper divisors (458121).

830991 is a wasteful number, since it uses less digits than its factorization.

830991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 830991 is about 911.5870775741. The cubic root of 830991 is about 94.0153513482.

The spelling of 830991 in words is "eight hundred thirty thousand, nine hundred ninety-one".

Divisors: 1 3 7 21 49 147 5653 16959 39571 118713 276997 830991