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830032 = 2477411
BaseRepresentation
bin11001010101001010000
31120011120221
43022221100
5203030112
625442424
710024630
oct3125120
91504527
10830032
11517685
12340414
13230a58
141786c0
15115e07
hexcaa50

830032 has 20 divisors (see below), whose sum is σ = 1838176. Its totient is φ = 355680.

The previous prime is 830017. The next prime is 830041. The reversal of 830032 is 230038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 829988 and 830015.

It is a congruent number.

It is an unprimeable number.

830032 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, 3594 + ... + 3817.

2830032 is an apocalyptic number.

It is an amenable number.

830032 is an abundant number, since it is smaller than the sum of its proper divisors (1008144).

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

830032 is a wasteful number, since it uses less digits than its factorization.

830032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 830032 is about 911.0609200268. The cubic root of 830032 is about 93.9791714829.

The spelling of 830032 in words is "eight hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 7411 14822 29644 51877 59288 103754 118576 207508 415016 830032