Search a number
-
+
230280 = 233519101
BaseRepresentation
bin111000001110001000
3102200212220
4320032020
524332110
64534040
71646241
oct701610
9380786
10230280
11148016
12b1320
1380a7b
145dcc8
1548370
hex38388

230280 has 64 divisors (see below), whose sum is σ = 734400. Its totient is φ = 57600.

The previous prime is 230273. The next prime is 230281. The reversal of 230280 is 82032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230281) by changing a digit.

230280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2230 + ... + 2330.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2230280 is an apocalyptic number.

230280 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 230280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

230280 is an abundant number, since it is smaller than the sum of its proper divisors (504120).

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

230280 is a wasteful number, since it uses less digits than its factorization.

230280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230280 is about 479.8749837197. The cubic root of 230280 is about 61.2941095566.

The spelling of 230280 in words is "two hundred thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 101 114 120 152 190 202 228 285 303 380 404 456 505 570 606 760 808 1010 1140 1212 1515 1919 2020 2280 2424 3030 3838 4040 5757 6060 7676 9595 11514 12120 15352 19190 23028 28785 38380 46056 57570 76760 115140 230280