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230928 = 24317283
BaseRepresentation
bin111000011000010000
3102201202220
4320120100
524342203
64541040
71651155
oct703020
9381686
10230928
11148555
12b1780
1381159
146022c
1548653
hex38610

230928 has 40 divisors (see below), whose sum is σ = 633888. Its totient is φ = 72192.

The previous prime is 230891. The next prime is 230929. The reversal of 230928 is 829032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230898 and 230907.

It is not an unprimeable number, because it can be changed into a prime (230929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 957.

2230928 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 230928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316944).

230928 is an abundant number, since it is smaller than the sum of its proper divisors (402960).

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

230928 is a wasteful number, since it uses less digits than its factorization.

230928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 230928 is about 480.5496852564. The cubic root of 230928 is about 61.3515488849.

The spelling of 230928 in words is "two hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 283 408 566 816 849 1132 1698 2264 3396 4528 4811 6792 9622 13584 14433 19244 28866 38488 57732 76976 115464 230928