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831104 = 2743151
BaseRepresentation
bin11001010111010000000
31120020001122
43022322000
5203043404
625451412
710031021
oct3127200
91506048
10831104
1151846a
12340b68
132313a1
14178c48
151163be
hexcae80

831104 has 32 divisors (see below), whose sum is σ = 1705440. Its totient is φ = 403200.

The previous prime is 831091. The next prime is 831109. The reversal of 831104 is 401138.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831109) by changing a digit.

831104 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 3 ways as a sum of consecutive naturals, for example, 5429 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (53295).

2831104 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 831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852720).

831104 is an abundant number, since it is smaller than the sum of its proper divisors (874336).

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

831104 is a wasteful number, since it uses less digits than its factorization.

831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 831104 is about 911.6490552839. The cubic root of 831104 is about 94.0196126271.

It can be divided in two parts, 8 and 31104, that multiplied together give a 5-th power (248832 = 125).

The spelling of 831104 in words is "eight hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 128 151 172 302 344 604 688 1208 1376 2416 2752 4832 5504 6493 9664 12986 19328 25972 51944 103888 207776 415552 831104