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12301830 = 2325532579
BaseRepresentation
bin101110111011…
…011000000110
3212010222221100
4232323120012
511122124310
61115400530
7206364252
oct56733006
925128840
1012301830
116a42602
124153146
1327194b8
1418c3262
15112eec0
hexbbb606

12301830 has 48 divisors (see below), whose sum is σ = 32600880. Its totient is φ = 3217344.

The previous prime is 12301789. The next prime is 12301837. The reversal of 12301830 is 3810321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3481 + ... + 6059.

It is an arithmetic number, because the mean of its divisors is an integer number (679185).

Almost surely, 212301830 is an apocalyptic number.

12301830 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 12301830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16300440).

12301830 is an abundant number, since it is smaller than the sum of its proper divisors (20299050).

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

12301830 is a wasteful number, since it uses less digits than its factorization.

12301830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12301830 is about 3507.3964703181. The cubic root of 12301830 is about 230.8464713235.

It can be divided in two parts, 12301 and 830, that added together give a palindrome (13131).

The spelling of 12301830 in words is "twelve million, three hundred one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 2579 4770 5158 7737 12895 15474 23211 25790 38685 46422 77370 116055 136687 232110 273374 410061 683435 820122 1230183 1366870 2050305 2460366 4100610 6150915 12301830