Search a number
-
+
230860 = 22571797
BaseRepresentation
bin111000010111001100
3102201200101
4320113030
524341420
64540444
71651030
oct702714
9381611
10230860
111484a3
12b1724
1381106
14601c0
154860a
hex385cc

230860 has 48 divisors (see below), whose sum is σ = 592704. Its totient is φ = 73728.

The previous prime is 230849. The next prime is 230861. The reversal of 230860 is 68032.

230860 = T27 + T28 + ... + T111.

230860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

230860 is a nontrivial binomial coefficient, being equal to C(680, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2332 + ... + 2428.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2230860 is an apocalyptic number.

230860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230860 is the 679-th triangular number and also the 340-th hexagonal number.

230860 is the 227-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352).

230860 is an abundant number, since it is smaller than the sum of its proper divisors (361844).

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

230860 is a wasteful number, since it uses less digits than its factorization.

230860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 230860 is about 480.4789277377. The cubic root of 230860 is about 61.3455263513.

Adding to 230860 its reverse (68032), we get a palindrome (298892).

The spelling of 230860 in words is "two hundred thirty thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 97 119 140 170 194 238 340 388 476 485 595 679 970 1190 1358 1649 1940 2380 2716 3298 3395 6596 6790 8245 11543 13580 16490 23086 32980 46172 57715 115430 230860