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12627104 = 25728053
BaseRepresentation
bin110000001010…
…110010100000
3212202112010112
4300022302200
511213031404
61130350452
7212220500
oct60126240
925675115
1012627104
117144a26
12428b428
132801579
141969a00
15119656e
hexc0aca0

12627104 has 36 divisors (see below), whose sum is σ = 28921914. Its totient is φ = 5410944.

The previous prime is 12627049. The next prime is 12627119. The reversal of 12627104 is 40172621.

It can be written as a sum of positive squares in only one way, i.e., 9314704 + 3312400 = 3052^2 + 1820^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12627104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2459 + ... + 5594.

Almost surely, 212627104 is an apocalyptic number.

12627104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12627104 is an abundant number, since it is smaller than the sum of its proper divisors (16294810).

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

12627104 is an equidigital number, since it uses as much as digits as its factorization.

12627104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 12627104 is about 3553.4636624004. The cubic root of 12627104 is about 232.8634097846.

Adding to 12627104 its reverse (40172621), we get a palindrome (52799725).

It can be divided in two parts, 126 and 27104, that multiplied together give a square (3415104 = 18482).

The spelling of 12627104 in words is "twelve million, six hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 8053 16106 32212 56371 64424 112742 128848 225484 257696 394597 450968 789194 901936 1578388 1803872 3156776 6313552 12627104