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12084512 = 251123121
BaseRepresentation
bin101110000110…
…010100100000
3211201221211112
4232012110200
511043201022
61111002452
7204500546
oct56062440
924657745
1012084512
116904300
124069428
1326715cb
141867d96
1510da8e2
hexb86520

12084512 has 36 divisors (see below), whose sum is σ = 26159238. Its totient is φ = 5491200.

The previous prime is 12084511. The next prime is 12084529. The reversal of 12084512 is 21548021.

It can be written as a sum of positive squares in only one way, i.e., 12082576 + 1936 = 3476^2 + 44^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2312 + ... + 5432.

Almost surely, 212084512 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 12084512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079619).

12084512 is an abundant number, since it is smaller than the sum of its proper divisors (14074726).

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

12084512 is a wasteful number, since it uses less digits than its factorization.

12084512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 12084512 is about 3476.2784698582. The cubic root of 12084512 is about 229.4790477721.

The spelling of 12084512 in words is "twelve million, eighty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3121 3872 6242 12484 24968 34331 49936 68662 99872 137324 274648 377641 549296 755282 1098592 1510564 3021128 6042256 12084512