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900245106 = 232129738561
BaseRepresentation
bin110101101010001…
…010011001110010
32022201222012010100
4311222022121302
53320430320411
6225155213230
731210646205
oct6552123162
92281865110
10900245106
1142218a522
122115a7216
13114681117
14877c193c
1554079456
hex35a8a672

900245106 has 24 divisors (see below), whose sum is σ = 1952085564. Its totient is φ = 299842560.

The previous prime is 900245041. The next prime is 900245107. The reversal of 900245106 is 601542009.

900245106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 856089081 + 44156025 = 29259^2 + 6645^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 900245106.

It is not an unprimeable number, because it can be changed into a prime (900245107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4066 + ... + 42626.

Almost surely, 2900245106 is an apocalyptic number.

900245106 is an abundant number, since it is smaller than the sum of its proper divisors (1051840458).

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

900245106 is a wasteful number, since it uses less digits than its factorization.

900245106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39866 (or 39863 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 900245106 is about 30004.0848219038. The cubic root of 900245106 is about 965.5770237766.

The spelling of 900245106 in words is "nine hundred million, two hundred forty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 1297 2594 3891 7782 11673 23346 38561 77122 115683 231366 347049 694098 50013617 100027234 150040851 300081702 450122553 900245106