Search a number
-
+
230920 = 23523251
BaseRepresentation
bin111000011000001000
3102201202121
4320120020
524342140
64541024
71651144
oct703010
9381677
10230920
11148548
12b1774
1381151
1460224
154864a
hex38608

230920 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 88000.

The previous prime is 230891. The next prime is 230929. The reversal of 230920 is 29032.

230920 = 1172 + 1182 + ... + 1312.

It is a junction number, because it is equal to n+sod(n) for n = 230894 and 230903.

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

230920 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 7 ways as a sum of consecutive naturals, for example, 795 + ... + 1045.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2230920 is an apocalyptic number.

230920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

230920 is an abundant number, since it is smaller than the sum of its proper divisors (313400).

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

230920 is a wasteful number, since it uses less digits than its factorization.

230920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 230920 is about 480.5413613832. The cubic root of 230920 is about 61.3508404129.

Adding to 230920 its reverse (29032), we get a palindrome (259952).

It can be divided in two parts, 230 and 920, that multiplied together give a square (211600 = 4602).

The spelling of 230920 in words is "two hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 251 460 502 920 1004 1255 2008 2510 5020 5773 10040 11546 23092 28865 46184 57730 115460 230920