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905029137 = 32331303803
BaseRepresentation
bin110101111100011…
…010011000010001
32100001222020120200
4311330122120101
53323141413022
6225445525413
731266422625
oct6574323021
92301866520
10905029137
11424957871
12213113869
131156677cc
14882a9185
15546c1bac
hex35f1a611

905029137 has 12 divisors (see below), whose sum is σ = 1311218064. Its totient is φ = 601527960.

The previous prime is 905029087. The next prime is 905029183. The reversal of 905029137 is 731920509.

905029137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 905029137 - 27 = 905029009 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (905049137) 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, 148923 + ... + 154880.

It is an arithmetic number, because the mean of its divisors is an integer number (109268172).

Almost surely, 2905029137 is an apocalyptic number.

It is an amenable number.

905029137 is a deficient number, since it is larger than the sum of its proper divisors (406188927).

905029137 is a wasteful number, since it uses less digits than its factorization.

905029137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304140 (or 304137 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 905029137 is about 30083.7021824110. The cubic root of 905029137 is about 967.2844076239.

The spelling of 905029137 in words is "nine hundred five million, twenty-nine thousand, one hundred thirty-seven".

Divisors: 1 3 9 331 993 2979 303803 911409 2734227 100558793 301676379 905029137