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12086064 = 2433101277
BaseRepresentation
bin101110000110…
…101100110000
3211202000222000
4232012230300
511043223224
61111014000
7204505224
oct56065460
924660860
1012086064
116905491
12406a300
132672223
141868784
1510db0c9
hexb86b30

12086064 has 80 divisors (see below), whose sum is σ = 35161440. Its totient is φ = 3974400.

The previous prime is 12086059. The next prime is 12086083. The reversal of 12086064 is 46068021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43494 + ... + 43770.

It is an arithmetic number, because the mean of its divisors is an integer number (439518).

Almost surely, 212086064 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 12086064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580720).

12086064 is an abundant number, since it is smaller than the sum of its proper divisors (23075376).

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

12086064 is a wasteful number, since it uses less digits than its factorization.

12086064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12086064 is about 3476.5016899176. The cubic root of 12086064 is about 229.4888712618.

The spelling of 12086064 in words is "twelve million, eighty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 277 303 404 432 554 606 808 831 909 1108 1212 1616 1662 1818 2216 2424 2493 2727 3324 3636 4432 4848 4986 5454 6648 7272 7479 9972 10908 13296 14544 14958 19944 21816 27977 29916 39888 43632 55954 59832 83931 111908 119664 167862 223816 251793 335724 447632 503586 671448 755379 1007172 1342896 1510758 2014344 3021516 4028688 6043032 12086064