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830232 = 233213887
BaseRepresentation
bin11001010101100011000
31120011212100
43022230120
5203031412
625443400
710025334
oct3125430
91504770
10830232
11517847
12340560
13230b80
141787c4
15115edc
hexcab18

830232 has 48 divisors (see below), whose sum is σ = 2424240. Its totient is φ = 255168.

The previous prime is 830191. The next prime is 830233. The reversal of 830232 is 232038.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830233) by changing a digit.

830232 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, 493 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (50505).

2830232 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 830232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212120).

830232 is an abundant number, since it is smaller than the sum of its proper divisors (1594008).

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

830232 is a wasteful number, since it uses less digits than its factorization.

830232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 830232 is about 911.1706755597. The cubic root of 830232 is about 93.9867191136.

The spelling of 830232 in words is "eight hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 887 936 1774 2661 3548 5322 7096 7983 10644 11531 15966 21288 23062 31932 34593 46124 63864 69186 92248 103779 138372 207558 276744 415116 830232