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20938125 = 35413859
BaseRepresentation
bin100111111011…
…1110110001101
31110101202201010
41033313312031
520330010000
62024435433
7342654045
oct117676615
943352633
1020938125
111090113a
127018b79
134451430
142ad0725
151c88d50
hex13f7d8d

20938125 has 40 divisors (see below), whose sum is σ = 37612960. Its totient is φ = 10296000.

The previous prime is 20938117. The next prime is 20938193. The reversal of 20938125 is 52183902.

It is a happy number.

It is not a de Polignac number, because 20938125 - 23 = 20938117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20938092 and 20938101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23946 + ... + 24804.

It is an arithmetic number, because the mean of its divisors is an integer number (940324).

Almost surely, 220938125 is an apocalyptic number.

20938125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20938125 is a deficient number, since it is larger than the sum of its proper divisors (16674835).

20938125 is an equidigital number, since it uses as much as digits as its factorization.

20938125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 20938125 is about 4575.8195987167. The cubic root of 20938125 is about 275.6211853072.

The spelling of 20938125 in words is "twenty million, nine hundred thirty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 195 325 375 625 859 975 1625 1875 2577 4295 4875 8125 11167 12885 21475 24375 33501 55835 64425 107375 167505 279175 322125 536875 837525 1395875 1610625 4187625 6979375 20938125