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130906566 = 23271038941
BaseRepresentation
bin1111100110101…
…11100111000110
3100010022202001100
413303113213012
5232003002231
620553440530
73146454540
oct763274706
9303282040
10130906566
116799104a
1237a10146
132117530b
1413558690
15b75c1e6
hex7cd79c6

130906566 has 24 divisors (see below), whose sum is σ = 324149904. Its totient is φ = 37401840.

The previous prime is 130906553. The next prime is 130906571. The reversal of 130906566 is 665609031.

130906566 is a `hidden beast` number, since 1 + 3 + 0 + 90 + 6 + 566 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130906566.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519345 + ... + 519596.

It is an arithmetic number, because the mean of its divisors is an integer number (13506246).

Almost surely, 2130906566 is an apocalyptic number.

130906566 is an abundant number, since it is smaller than the sum of its proper divisors (193243338).

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

130906566 is a wasteful number, since it uses less digits than its factorization.

130906566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038956 (or 1038953 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 130906566 is about 11441.4407309569. The cubic root of 130906566 is about 507.7545340024.

The spelling of 130906566 in words is "one hundred thirty million, nine hundred six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1038941 2077882 3116823 6233646 7272587 9350469 14545174 18700938 21817761 43635522 65453283 130906566