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830128 = 24132307
BaseRepresentation
bin11001010101010110000
31120011201111
43022222300
5203031003
625443104
710025125
oct3125260
91504644
10830128
11517762
12340494
13230b00
1417874c
15115e6d
hexcaab0

830128 has 30 divisors (see below), whose sum is σ = 1747284. Its totient is φ = 381888.

The previous prime is 830117. The next prime is 830131. The reversal of 830128 is 821038.

It is a super-2 number, since 2×8301282 = 1378224992768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 830099 and 830108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2551 + ... + 2857.

2830128 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 830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873642).

830128 is an abundant number, since it is smaller than the sum of its proper divisors (917156).

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

830128 is a wasteful number, since it uses less digits than its factorization.

830128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 830128 is about 911.1136043326. The cubic root of 830128 is about 93.9827944969.

The spelling of 830128 in words is "eight hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 307 338 614 676 1228 1352 2456 2704 3991 4912 7982 15964 31928 51883 63856 103766 207532 415064 830128