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12583136 = 25675869
BaseRepresentation
bin110000000000…
…000011100000
3212200021211002
4300000003200
511210130021
61125411132
7211645346
oct60000340
925607732
1012583136
117114995
124269aa8
1327b7557
141957996
15118850b
hexc000e0

12583136 has 24 divisors (see below), whose sum is σ = 25147080. Its totient is φ = 6196608.

The previous prime is 12583121. The next prime is 12583157. The reversal of 12583136 is 63138521.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12583099 and 12583108.

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 791 + ... + 5078.

It is an arithmetic number, because the mean of its divisors is an integer number (1047795).

Almost surely, 212583136 is an apocalyptic number.

12583136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12583136 is a deficient number, since it is larger than the sum of its proper divisors (12563944).

12583136 is an equidigital number, since it uses as much as digits as its factorization.

12583136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5938 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 12583136 is about 3547.2716276034. The cubic root of 12583136 is about 232.5928160657.

The spelling of 12583136 in words is "twelve million, five hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 67 134 268 536 1072 2144 5869 11738 23476 46952 93904 187808 393223 786446 1572892 3145784 6291568 12583136