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20756125 = 531353241
BaseRepresentation
bin100111100101…
…1011010011101
31110001112001101
41033023122131
520303144000
62020513101
7341265325
oct117133235
943045041
1020756125
1110797425
126b4b791
1343b9640
142a84285
151c4ee6a
hex13cb69d

20756125 has 32 divisors (see below), whose sum is σ = 28540512. Its totient is φ = 14976000.

The previous prime is 20756101. The next prime is 20756129. The reversal of 20756125 is 52165702.

20756125 = 32212 + 32222.

It can be written as a sum of positive squares in 16 ways, for example, as 13675204 + 7080921 = 3698^2 + 2661^2 .

It is not a de Polignac number, because 20756125 - 29 = 20755613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20756093 and 20756102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20756129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86005 + ... + 86245.

It is an arithmetic number, because the mean of its divisors is an integer number (891891).

Almost surely, 220756125 is an apocalyptic number.

20756125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20756125 is the 3222-nd centered square number.

It is an amenable number.

20756125 is a deficient number, since it is larger than the sum of its proper divisors (7784387).

20756125 is a wasteful number, since it uses less digits than its factorization.

20756125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 20756125 is about 4555.8890460590. The cubic root of 20756125 is about 274.8202682332.

The spelling of 20756125 in words is "twenty million, seven hundred fifty-six thousand, one hundred twenty-five".

Divisors: 1 5 13 25 53 65 125 241 265 325 689 1205 1325 1625 3133 3445 6025 6625 12773 15665 17225 30125 63865 78325 86125 166049 319325 391625 830245 1596625 4151225 20756125