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12086032 = 24731592
BaseRepresentation
bin101110000110…
…101100010000
3211202000220211
4232012230100
511043223112
61111013504
7204505150
oct56065420
924660824
1012086032
116905462
12406a294
1326721ca
141868760
1510db0a7
hexb86b10

12086032 has 60 divisors (see below), whose sum is σ = 28101376. Its totient is φ = 4927680.

The previous prime is 12085999. The next prime is 12086047. The reversal of 12086032 is 23068021.

It is a junction number, because it is equal to n+sod(n) for n = 12085994 and 12086012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204819 + ... + 204877.

Almost surely, 212086032 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 12086032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14050688).

12086032 is an abundant number, since it is smaller than the sum of its proper divisors (16015344).

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

12086032 is an equidigital number, since it uses as much as digits as its factorization.

12086032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12086032 is about 3476.4970875869. The cubic root of 12086032 is about 229.4886687241.

The spelling of 12086032 in words is "twelve million, eighty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 59 62 112 118 124 217 236 248 413 434 472 496 826 868 944 1652 1736 1829 3304 3472 3481 3658 6608 6962 7316 12803 13924 14632 24367 25606 27848 29264 48734 51212 55696 97468 102424 107911 194936 204848 215822 389872 431644 755377 863288 1510754 1726576 3021508 6043016 12086032