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12688125 = 35467101
BaseRepresentation
bin110000011001…
…101011111101
3212212121211120
4300121223331
511222010000
61131541153
7212563422
oct60315375
925777746
1012688125
11718685a
1242ba7b9
132823288
141983d49
1511a96a0
hexc19afd

12688125 has 40 divisors (see below), whose sum is σ = 21668064. Its totient is φ = 6600000.

The previous prime is 12688099. The next prime is 12688129. The reversal of 12688125 is 52188621.

It is not a de Polignac number, because 12688125 - 28 = 12687869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12688129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125575 + ... + 125675.

Almost surely, 212688125 is an apocalyptic number.

12688125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12688125 is a deficient number, since it is larger than the sum of its proper divisors (8979939).

12688125 is an equidigital number, since it uses as much as digits as its factorization.

12688125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 12688125 is about 3562.0394439141. The cubic root of 12688125 is about 233.2379144997.

The spelling of 12688125 in words is "twelve million, six hundred eighty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 67 75 101 125 201 303 335 375 505 625 1005 1515 1675 1875 2525 5025 6767 7575 8375 12625 20301 25125 33835 37875 41875 63125 101505 125625 169175 189375 507525 845875 2537625 4229375 12688125