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16820364 = 22311791613
BaseRepresentation
bin100000000101…
…0100010001100
31011122120012110
41000022202030
513301222424
61400304020
7262653651
oct100124214
934576173
1016820364
119549430
125772010
13363c0a2
14233bc28
151723c29
hex100a88c

16820364 has 48 divisors (see below), whose sum is σ = 43384320. Its totient is φ = 5029440.

The previous prime is 16820357. The next prime is 16820381. The reversal of 16820364 is 46302861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9622 + ... + 11234.

It is an arithmetic number, because the mean of its divisors is an integer number (903840).

Almost surely, 216820364 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 16820364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21692160).

16820364 is an abundant number, since it is smaller than the sum of its proper divisors (26563956).

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

16820364 is a wasteful number, since it uses less digits than its factorization.

16820364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 16820364 is about 4101.2637076882. The cubic root of 16820364 is about 256.2192742061.

The spelling of 16820364 in words is "sixteen million, eight hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1613 1738 2607 3226 3476 4839 5214 6452 9678 10428 17743 19356 35486 53229 70972 106458 127427 212916 254854 382281 509708 764562 1401697 1529124 2803394 4205091 5606788 8410182 16820364