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12403125 = 345572
BaseRepresentation
bin101111010100…
…000110110101
3212100010220000
4233110012311
511133400000
61121501513
7210265500
oct57240665
925303800
1012403125
117001719
1241a1899
132753637
14190c137
151150000
hexbd41b5

12403125 has 90 divisors (see below), whose sum is σ = 26939682. Its totient is φ = 5670000.

The previous prime is 12403123. The next prime is 12403147. The reversal of 12403125 is 52130421.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 5731236 + 6671889 = 2394^2 + 2583^2 .

It is not a de Polignac number, because 12403125 - 21 = 12403123 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12403098 and 12403107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12403121) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 1771872 + ... + 1771878.

Almost surely, 212403125 is an apocalyptic number.

12403125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12403125 is an abundant number, since it is smaller than the sum of its proper divisors (14536557).

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

12403125 is an frugal number, since it uses more digits than its factorization.

12403125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12403125 is about 3521.8070645622. The cubic root of 12403125 is about 231.4783476119.

Adding to 12403125 its reverse (52130421), we get a palindrome (64533546).

The spelling of 12403125 in words is "twelve million, four hundred three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 125 135 147 175 189 225 245 315 375 405 441 525 567 625 675 735 875 945 1125 1225 1323 1575 1875 2025 2205 2625 2835 3125 3375 3675 3969 4375 4725 5625 6125 6615 7875 9375 10125 11025 13125 14175 16875 18375 19845 21875 23625 28125 30625 33075 39375 50625 55125 65625 70875 84375 91875 99225 118125 153125 165375 196875 253125 275625 354375 459375 496125 590625 826875 1378125 1771875 2480625 4134375 12403125