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830112 = 2538647
BaseRepresentation
bin11001010101010100000
31120011200220
43022222200
5203030422
625443040
710025103
oct3125240
91504626
10830112
11517748
12340480
13230aba
1417873a
15115e5c
hexcaaa0

830112 has 24 divisors (see below), whose sum is σ = 2179296. Its totient is φ = 276672.

The previous prime is 830111. The next prime is 830117. The reversal of 830112 is 211038.

830112 = T128 + T129 + ... + T191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 830091 and 830100.

It is not an unprimeable number, because it can be changed into a prime (830111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4228 + ... + 4419.

It is an arithmetic number, because the mean of its divisors is an integer number (90804).

2830112 is an apocalyptic number.

It is an amenable number.

830112 is an abundant number, since it is smaller than the sum of its proper divisors (1349184).

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

830112 is a wasteful number, since it uses less digits than its factorization.

830112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8660 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 830112 is about 911.1048238265. The cubic root of 830112 is about 93.9821906807.

The spelling of 830112 in words is "eight hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8647 17294 25941 34588 51882 69176 103764 138352 207528 276704 415056 830112