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12306630 = 235758603
BaseRepresentation
bin101110111100…
…100011000110
3212011020112010
4232330203012
511122303010
61115435050
7206414250
oct56744306
925136463
1012306630
116a46176
124155a86
13271b73b
1418c4cd0
151131620
hexbbc8c6

12306630 has 32 divisors (see below), whose sum is σ = 33755904. Its totient is φ = 2812896.

The previous prime is 12306629. The next prime is 12306631. The reversal of 12306630 is 3660321.

It is an interprime number because it is at equal distance from previous prime (12306629) and next prime (12306631).

It is a super-3 number, since 3×123066303 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12306597 and 12306606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12306631) 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 15 ways as a sum of consecutive naturals, for example, 29092 + ... + 29511.

It is an arithmetic number, because the mean of its divisors is an integer number (1054872).

Almost surely, 212306630 is an apocalyptic number.

12306630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12306630 is an abundant number, since it is smaller than the sum of its proper divisors (21449274).

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

12306630 is a wasteful number, since it uses less digits than its factorization.

12306630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58620.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 12306630 is about 3508.0806718204. The cubic root of 12306630 is about 230.8764917616.

Adding to 12306630 its reverse (3660321), we get a palindrome (15966951).

The spelling of 12306630 in words is "twelve million, three hundred six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 58603 117206 175809 293015 351618 410221 586030 820442 879045 1230663 1758090 2051105 2461326 4102210 6153315 12306630