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900366125 = 539774257
BaseRepresentation
bin110101101010100…
…111111100101101
32022202012100010112
4311222213330231
53320443204000
6225201545405
731211662061
oct6552477455
92282170115
10900366125
1142226243a
12211645265
131146c4229
1487813aa1
15540a0235
hex35aa7f2d

900366125 has 16 divisors (see below), whose sum is σ = 1135256304. Its totient is φ = 712857600.

The previous prime is 900366107. The next prime is 900366127. The reversal of 900366125 is 521663009.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 620707396 + 279658729 = 24914^2 + 16723^2 .

It is not a de Polignac number, because 900366125 - 222 = 896171821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 900366091 and 900366100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900366127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25004 + ... + 49253.

It is an arithmetic number, because the mean of its divisors is an integer number (70953519).

Almost surely, 2900366125 is an apocalyptic number.

It is an amenable number.

900366125 is a deficient number, since it is larger than the sum of its proper divisors (234890179).

900366125 is an equidigital number, since it uses as much as digits as its factorization.

900366125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74369 (or 74359 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 900366125 is about 30006.1014628692. The cubic root of 900366125 is about 965.6202890049.

The spelling of 900366125 in words is "nine hundred million, three hundred sixty-six thousand, one hundred twenty-five".

Divisors: 1 5 25 97 125 485 2425 12125 74257 371285 1856425 7202929 9282125 36014645 180073225 900366125