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20164016 = 241923491
BaseRepresentation
bin100110011101…
…0110110110000
31101221102211102
41030322312300
520130222031
62000103532
7333251135
oct114726660
941842742
1020164016
1110422584
126904ba8
13423cc92
14296c58c
151b847cb
hex133adb0

20164016 has 30 divisors (see below), whose sum is σ = 41244012. Its totient is φ = 9548640.

The previous prime is 20164013. The next prime is 20164049. The reversal of 20164016 is 61046102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20164013) 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 5 ways as a sum of consecutive naturals, for example, 4031 + ... + 7521.

Almost surely, 220164016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20622006).

20164016 is an abundant number, since it is smaller than the sum of its proper divisors (21079996).

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

20164016 is a wasteful number, since it uses less digits than its factorization.

20164016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 20164016 is about 4490.4360590036. The cubic root of 20164016 is about 272.1817556829.

The spelling of 20164016 in words is "twenty million, one hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 3491 5776 6982 13964 27928 55856 66329 132658 265316 530632 1061264 1260251 2520502 5041004 10082008 20164016