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12286036 = 2271753487
BaseRepresentation
bin101110110111…
…100001010100
3212010012021101
4232313201110
511121123121
61115155444
7206300230
oct56674124
925105241
1012286036
116a31754
124145b84
132712259
1418bb5c0
15112a491
hexbb7854

12286036 has 48 divisors (see below), whose sum is σ = 26562816. Its totient is φ = 4852224.

The previous prime is 12286033. The next prime is 12286039. The reversal of 12286036 is 63068221.

It is an interprime number because it is at equal distance from previous prime (12286033) and next prime (12286039).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12285995 and 12286013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12286033) 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, 24985 + ... + 25471.

It is an arithmetic number, because the mean of its divisors is an integer number (553392).

Almost surely, 212286036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12286036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281408).

12286036 is an abundant number, since it is smaller than the sum of its proper divisors (14276780).

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

12286036 is a wasteful number, since it uses less digits than its factorization.

12286036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 12286036 is about 3505.1442195721. The cubic root of 12286036 is about 230.7476364181.

The spelling of 12286036 in words is "twelve million, two hundred eighty-six thousand, thirty-six".

Divisors: 1 2 4 7 14 17 28 34 53 68 106 119 212 238 371 476 487 742 901 974 1484 1802 1948 3409 3604 6307 6818 8279 12614 13636 16558 25228 25811 33116 51622 57953 103244 115906 180677 231812 361354 438787 722708 877574 1755148 3071509 6143018 12286036