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53030106 = 2331761947
BaseRepresentation
bin1100101001001…
…0110011011010
310200210012122000
43022102303122
5102033430411
65132341430
71212514503
oct312226332
9120705560
1053030106
1127a30338
1215914876
13aca967c
147085baa
1549c7956
hex3292cda

53030106 has 64 divisors (see below), whose sum is σ = 126956160. Its totient is φ = 16346880.

The previous prime is 53030099. The next prime is 53030129. The reversal of 53030106 is 60103035.

53030106 is a `hidden beast` number, since 530 + 30 + 106 = 666.

53030106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 55525 + ... + 56471.

It is an arithmetic number, because the mean of its divisors is an integer number (1983690).

Almost surely, 253030106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53030106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63478080).

53030106 is an abundant number, since it is smaller than the sum of its proper divisors (73926054).

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

53030106 is a wasteful number, since it uses less digits than its factorization.

53030106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 53030106 is about 7282.1772843017. The cubic root of 53030106 is about 375.6996856945.

The spelling of 53030106 in words is "fifty-three million, thirty thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 102 122 153 183 306 366 459 549 918 947 1037 1098 1647 1894 2074 2841 3111 3294 5682 6222 8523 9333 16099 17046 18666 25569 27999 32198 48297 51138 55998 57767 96594 115534 144891 173301 289782 346602 434673 519903 869346 982039 1039806 1559709 1964078 2946117 3119418 5892234 8838351 17676702 26515053 53030106