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12584072 = 231573009
BaseRepresentation
bin110000000000…
…010010001000
3212200100002202
4300000102020
511210142242
61125415332
7211651154
oct60002210
925610082
1012584072
117115666
12426a548
1327b7ac7
141958064
151188932
hexc00488

12584072 has 8 divisors (see below), whose sum is σ = 23595150. Its totient is φ = 6292032.

The previous prime is 12584071. The next prime is 12584119. The reversal of 12584072 is 27048521.

It can be written as a sum of positive squares in only one way, i.e., 8797156 + 3786916 = 2966^2 + 1946^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (12584071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 786497 + ... + 786512.

Almost surely, 212584072 is an apocalyptic number.

It is an amenable number.

12584072 is a deficient number, since it is larger than the sum of its proper divisors (11011078).

12584072 is a wasteful number, since it uses less digits than its factorization.

12584072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573015 (or 1573011 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 12584072 is about 3547.4035575333. The cubic root of 12584072 is about 232.5985830828.

The spelling of 12584072 in words is "twelve million, five hundred eighty-four thousand, seventy-two".

Divisors: 1 2 4 8 1573009 3146018 6292036 12584072