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20956125 = 353294147
BaseRepresentation
bin100111111110…
…0001111011101
31110102200101210
41033330033131
520331044000
62025055033
7343060401
oct117741735
943380353
1020956125
1110913713
127027479
134459698
142ad7101
151c8e350
hex13fc3dd

20956125 has 64 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 10304000.

The previous prime is 20956109. The next prime is 20956129. The reversal of 20956125 is 52165902.

It is a happy number.

It is not a de Polignac number, because 20956125 - 24 = 20956109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20956092 and 20956101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20956129) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 445852 + ... + 445898.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 220956125 is an apocalyptic number.

20956125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20956125 is a deficient number, since it is larger than the sum of its proper divisors (16783395).

20956125 is a wasteful number, since it uses less digits than its factorization.

20956125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 20956125 is about 4577.7860369397. The cubic root of 20956125 is about 275.7001443090.

The spelling of 20956125 in words is "twenty million, nine hundred fifty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 29 41 47 75 87 123 125 141 145 205 235 375 435 615 705 725 1025 1175 1189 1363 1927 2175 3075 3525 3567 3625 4089 5125 5781 5875 5945 6815 9635 10875 15375 17625 17835 20445 28905 29725 34075 48175 55883 89175 102225 144525 148625 167649 170375 240875 279415 445875 511125 722625 838245 1397075 4191225 6985375 20956125