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13000230 = 233589541
BaseRepresentation
bin110001100101…
…111000100110
3220110110222000
4301211320212
511312001410
61142350130
7215333355
oct61457046
926413860
1013000230
11737a2a1
12442b346
132902359
141a2599c
15121bdc0
hexc65e26

13000230 has 64 divisors (see below), whose sum is σ = 35121600. Its totient is φ = 3421440.

The previous prime is 13000219. The next prime is 13000243. The reversal of 13000230 is 3200031.

It is a happy number.

13000230 is digitally balanced in base 2, 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 (9).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23760 + ... + 24300.

It is an arithmetic number, because the mean of its divisors is an integer number (548775).

Almost surely, 213000230 is an apocalyptic number.

13000230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17560800).

13000230 is an abundant number, since it is smaller than the sum of its proper divisors (22121370).

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

13000230 is a wasteful number, since it uses less digits than its factorization.

13000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13000230 is about 3605.5831705842. The cubic root of 13000230 is about 235.1348554485.

Adding to 13000230 its reverse (3200031), we get a palindrome (16200261).

The spelling of 13000230 in words is "thirteen million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 89 90 135 178 267 270 445 534 541 801 890 1082 1335 1602 1623 2403 2670 2705 3246 4005 4806 4869 5410 8010 8115 9738 12015 14607 16230 24030 24345 29214 48149 48690 73035 96298 144447 146070 240745 288894 433341 481490 722235 866682 1300023 1444470 2166705 2600046 4333410 6500115 13000230