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12504385 = 541181337
BaseRepresentation
bin101111101100…
…110101000001
3212112021210101
4233230311001
511200120020
61124002401
7211166635
oct57546501
925467711
1012504385
117070803
124230401
13278a75a
141936dc5
15117000a
hexbecd41

12504385 has 16 divisors (see below), whose sum is σ = 15502032. Its totient is φ = 9676800.

The previous prime is 12504379. The next prime is 12504391. The reversal of 12504385 is 58340521.

It is an interprime number because it is at equal distance from previous prime (12504379) and next prime (12504391).

It can be written as a sum of positive squares in 8 ways, for example, as 6594624 + 5909761 = 2568^2 + 2431^2 .

It is not a de Polignac number, because 12504385 - 25 = 12504353 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36937 + ... + 37273.

It is an arithmetic number, because the mean of its divisors is an integer number (968877).

Almost surely, 212504385 is an apocalyptic number.

It is an amenable number.

12504385 is a deficient number, since it is larger than the sum of its proper divisors (2997647).

12504385 is a wasteful number, since it uses less digits than its factorization.

12504385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 12504385 is about 3536.1539842037. The cubic root of 12504385 is about 232.1065763307.

The spelling of 12504385 in words is "twelve million, five hundred four thousand, three hundred eighty-five".

Divisors: 1 5 41 181 205 337 905 1685 7421 13817 37105 60997 69085 304985 2500877 12504385