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900077320 = 23522501933
BaseRepresentation
bin110101101001100…
…001011100001000
32022201122122222001
4311221201130020
53320404433240
6225151440344
731206350062
oct6551413410
92281578861
10900077320
1142208545a
122115260b4
1311462293c
148777a732
155404489a
hex35a61708

900077320 has 16 divisors (see below), whose sum is σ = 2025174060. Its totient is φ = 360030912.

The previous prime is 900077317. The next prime is 900077407. The reversal of 900077320 is 23770009.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 868245156 + 31832164 = 29466^2 + 5642^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11250927 + ... + 11251006.

Almost surely, 2900077320 is an apocalyptic number.

It is an amenable number.

900077320 is an abundant number, since it is smaller than the sum of its proper divisors (1125096740).

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

900077320 is a wasteful number, since it uses less digits than its factorization.

900077320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22501944 (or 22501940 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 900077320 is about 30001.2886389902. The cubic root of 900077320 is about 965.5170325692.

It can be divided in two parts, 9000 and 77320, that added together give a triangular number (86320 = T415).

The spelling of 900077320 in words is "nine hundred million, seventy-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 22501933 45003866 90007732 112509665 180015464 225019330 450038660 900077320