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12089984 = 27293257
BaseRepresentation
bin101110000111…
…101010000000
3211202020100012
4232013222000
511043334414
61111044052
7204522524
oct56075200
924666305
1012089984
116908425
124070628
132673c4a
141869d84
1510dc33e
hexb87a80

12089984 has 32 divisors (see below), whose sum is σ = 24923700. Its totient is φ = 5834752.

The previous prime is 12089977. The next prime is 12089993. The reversal of 12089984 is 48998021.

It can be written as a sum of positive squares in 2 ways, for example, as 11560000 + 529984 = 3400^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2084 + ... + 5340.

Almost surely, 212089984 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 12089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461850).

12089984 is an abundant number, since it is smaller than the sum of its proper divisors (12833716).

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

12089984 is an equidigital number, since it uses as much as digits as its factorization.

12089984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 12089984 is about 3477.0654293527. The cubic root of 12089984 is about 229.5136794247.

The spelling of 12089984 in words is "twelve million, eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3257 3712 6514 13028 26056 52112 94453 104224 188906 208448 377812 416896 755624 1511248 3022496 6044992 12089984