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16364106 = 235113061
BaseRepresentation
bin111110011011…
…001001001010
31010210101100000
4332123021022
513142122411
61342423430
7256043523
oct76331112
933711300
1016364106
119267660
125591b76
13350c505
14225d84a
151683956
hexf9b24a

16364106 has 48 divisors (see below), whose sum is σ = 40124448. Its totient is φ = 4957200.

The previous prime is 16364093. The next prime is 16364107. The reversal of 16364106 is 60146361.

16364106 is a `hidden beast` number, since 16 + 3 + 641 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 16364106.

It is not an unprimeable number, because it can be changed into a prime (16364107) 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 23 ways as a sum of consecutive naturals, for example, 3816 + ... + 6876.

It is an arithmetic number, because the mean of its divisors is an integer number (835926).

Almost surely, 216364106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16364106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062224).

16364106 is an abundant number, since it is smaller than the sum of its proper divisors (23760342).

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

16364106 is a wasteful number, since it uses less digits than its factorization.

16364106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 16364106 is about 4045.2572229711. The cubic root of 16364106 is about 253.8813279930.

The spelling of 16364106 in words is "sixteen million, three hundred sixty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 3061 5346 6122 9183 18366 27549 33671 55098 67342 82647 101013 165294 202026 247941 303039 495882 606078 743823 909117 1487646 1818234 2727351 5454702 8182053 16364106