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12000310 = 257251683
BaseRepresentation
bin101101110001…
…110000110110
3211120200022221
4231301300312
511033002220
61105112554
7204000220
oct55616066
924520287
1012000310
116857013
12402875a
13264219a
141845410
1510c09aa
hexb71c36

12000310 has 32 divisors (see below), whose sum is σ = 24820992. Its totient is φ = 4092000.

The previous prime is 12000281. The next prime is 12000353. The reversal of 12000310 is 1300021.

It is a super-2 number, since 2×120003102 = 288014880192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 12000293 and 12000302.

It is a congruent number.

It is an unprimeable number.

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, 17229 + ... + 17911.

It is an arithmetic number, because the mean of its divisors is an integer number (775656).

Almost surely, 212000310 is an apocalyptic number.

12000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000310 is an abundant number, since it is smaller than the sum of its proper divisors (12820682).

12000310 is a wasteful number, since it uses less digits than its factorization.

12000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 12000310 is about 3464.1463594946. The cubic root of 12000310 is about 228.9448199460.

Adding to 12000310 its reverse (1300021), we get a palindrome (13300331).

The spelling of 12000310 in words is "twelve million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 70 251 502 683 1255 1366 1757 2510 3415 3514 4781 6830 8785 9562 17570 23905 47810 171433 342866 857165 1200031 1714330 2400062 6000155 12000310