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906106077 = 32125979967
BaseRepresentation
bin110110000000100…
…001010011011101
32100010222221212100
4312000201103131
53323430343302
6225524555313
731311526452
oct6600412335
92303887770
10906106077
114255229a8
12213552b39
13115953a56
14884a9829
1554835d1c
hex360214dd

906106077 has 12 divisors (see below), whose sum is σ = 1309875840. Its totient is φ = 603583368.

The previous prime is 906106049. The next prime is 906106127. The reversal of 906106077 is 770601609.

It is not a de Polignac number, because 906106077 - 28 = 906105821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906106177) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28653 + ... + 51314.

It is an arithmetic number, because the mean of its divisors is an integer number (109156320).

Almost surely, 2906106077 is an apocalyptic number.

It is an amenable number.

906106077 is a deficient number, since it is larger than the sum of its proper divisors (403769763).

906106077 is a wasteful number, since it uses less digits than its factorization.

906106077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81232 (or 81229 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 906106077 is about 30101.5959211468. The cubic root of 906106077 is about 967.6679291065.

The spelling of 906106077 in words is "nine hundred six million, one hundred six thousand, seventy-seven".

Divisors: 1 3 9 1259 3777 11331 79967 239901 719703 100678453 302035359 906106077