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12065284 = 2271143911
BaseRepresentation
bin101110000001…
…101000000100
3211200222110101
4232001220010
511042042114
61110333444
7204360520
oct56015004
924628411
1012065284
1168a0910
12405a284
13266592a
141860d80
1510d4d74
hexb81a04

12065284 has 48 divisors (see below), whose sum is σ = 26966016. Its totient is φ = 4586400.

The previous prime is 12065269. The next prime is 12065299. The reversal of 12065284 is 48256021.

It is an interprime number because it is at equal distance from previous prime (12065269) and next prime (12065299).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12789 + ... + 13699.

It is an arithmetic number, because the mean of its divisors is an integer number (561792).

Almost surely, 212065284 is an apocalyptic number.

12065284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12065284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483008).

12065284 is an abundant number, since it is smaller than the sum of its proper divisors (14900732).

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

12065284 is a wasteful number, since it uses less digits than its factorization.

12065284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 12065284 is about 3473.5117676496. The cubic root of 12065284 is about 229.3572730177.

The spelling of 12065284 in words is "twelve million, sixty-five thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 301 308 473 602 911 946 1204 1822 1892 3311 3644 6377 6622 10021 12754 13244 20042 25508 39173 40084 70147 78346 140294 156692 274211 280588 430903 548422 861806 1096844 1723612 3016321 6032642 12065284