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832068 = 223229797
BaseRepresentation
bin11001011001001000100
31120021101100
43023021010
5203111233
625500100
710033566
oct3131104
91507340
10832068
11519166
12341630
13231963
14179336
15116813
hexcb244

832068 has 36 divisors (see below), whose sum is σ = 2178540. Its totient is φ = 267456.

The previous prime is 832063. The next prime is 832079. The reversal of 832068 is 860238.

832068 = T57 + T58 + ... + T172.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 412164 = 648^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 832068.

It is not an unprimeable number, because it can be changed into a prime (832063) by changing a digit.

832068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646 + ... + 1442.

It is an arithmetic number, because the mean of its divisors is an integer number (60515).

2832068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089270).

832068 is an abundant number, since it is smaller than the sum of its proper divisors (1346472).

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

832068 is a wasteful number, since it uses less digits than its factorization.

832068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 832068 is about 912.1776142835. The cubic root of 832068 is about 94.0559497909.

The spelling of 832068 in words is "eight hundred thirty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 797 1044 1594 2391 3188 4782 7173 9564 14346 23113 28692 46226 69339 92452 138678 208017 277356 416034 832068