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230520 = 233517113
BaseRepresentation
bin111000010001111000
3102201012210
4320101320
524334040
64535120
71650033
oct702170
9381183
10230520
11148214
12b14a0
1380c04
146001a
1548480
hex38478

230520 has 64 divisors (see below), whose sum is σ = 738720. Its totient is φ = 57344.

The previous prime is 230507. The next prime is 230539. The reversal of 230520 is 25032.

230520 is nontrivially palindromic in base 9.

230520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 230496 and 230505.

It is a congruent number.

It is an unprimeable number.

230520 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 15 ways as a sum of consecutive naturals, for example, 1984 + ... + 2096.

2230520 is an apocalyptic number.

230520 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 230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369360).

230520 is an abundant number, since it is smaller than the sum of its proper divisors (508200).

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

230520 is a wasteful number, since it uses less digits than its factorization.

230520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 230520 is about 480.1249837282. The cubic root of 230520 is about 61.3153959308.

Adding to 230520 its reverse (25032), we get a palindrome (255552).

The spelling of 230520 in words is "two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 113 120 136 170 204 226 255 339 340 408 452 510 565 678 680 904 1020 1130 1356 1695 1921 2040 2260 2712 3390 3842 4520 5763 6780 7684 9605 11526 13560 15368 19210 23052 28815 38420 46104 57630 76840 115260 230520