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12090064 = 24732203
BaseRepresentation
bin101110000111…
…101011010000
3211202020110011
4232013223100
511043340224
61111044304
7204523000
oct56075320
924666404
1012090064
116908498
124070694
132673cac
14186a000
1510dc394
hexb87ad0

12090064 has 40 divisors (see below), whose sum is σ = 27329600. Its totient is φ = 5179104.

The previous prime is 12090053. The next prime is 12090073. The reversal of 12090064 is 46009021.

12090064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4387 + ... + 6589.

It is an arithmetic number, because the mean of its divisors is an integer number (683240).

Almost surely, 212090064 is an apocalyptic number.

12090064 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 12090064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664800).

12090064 is an abundant number, since it is smaller than the sum of its proper divisors (15239536).

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

12090064 is an equidigital number, since it uses as much as digits as its factorization.

12090064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 12090064 is about 3477.0769332875. The cubic root of 12090064 is about 229.5141856579.

Adding to 12090064 its reverse (46009021), we get a palindrome (58099085).

The spelling of 12090064 in words is "twelve million, ninety thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2203 2744 4406 5488 8812 15421 17624 30842 35248 61684 107947 123368 215894 246736 431788 755629 863576 1511258 1727152 3022516 6045032 12090064