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20806016 = 277112111
BaseRepresentation
bin100111101011…
…1100110000000
31110011001111012
41033113212000
520311243031
62021540052
7341563640
oct117274600
943131435
1020806016
1110820960
126b74628
13440626a
142a98520
151c5eb2b
hex13d7980

20806016 has 64 divisors (see below), whose sum is σ = 51701760. Its totient is φ = 8102400.

The previous prime is 20806003. The next prime is 20806039. The reversal of 20806016 is 61060802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20805982 and 20806000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8801 + ... + 10911.

It is an arithmetic number, because the mean of its divisors is an integer number (807840).

Almost surely, 220806016 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 20806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25850880).

20806016 is an abundant number, since it is smaller than the sum of its proper divisors (30895744).

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

20806016 is a wasteful number, since it uses less digits than its factorization.

20806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 20806016 is about 4561.3612003436. The cubic root of 20806016 is about 275.0402850074.

Adding to 20806016 its reverse (61060802), we get a palindrome (81866818).

The spelling of 20806016 in words is "twenty million, eight hundred six thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2111 2464 4222 4928 8444 9856 14777 16888 23221 29554 33776 46442 59108 67552 92884 118216 135104 162547 185768 236432 270208 325094 371536 472864 650188 743072 945728 1300376 1486144 1891456 2600752 2972288 5201504 10403008 20806016