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19820096 = 261718217
BaseRepresentation
bin100101110011…
…0111001000000
31101021222001122
41023212321000
520033220341
61544451412
7330316352
oct113467100
941258048
1019820096
111020814a
126779b68
13414c58a
1428bd0d2
151b1794b
hex12e6e40

19820096 has 28 divisors (see below), whose sum is σ = 41646348. Its totient is φ = 9326592.

The previous prime is 19820093. The next prime is 19820111. The reversal of 19820096 is 69002891.

19820096 = T856 + T857 + ... + T906.

It can be written as a sum of positive squares in 2 ways, for example, as 9985600 + 9834496 = 3160^2 + 3136^2 .

It is not an unprimeable number, because it can be changed into a prime (19820093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8021 + ... + 10196.

Almost surely, 219820096 is an apocalyptic number.

19820096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19820096 is an abundant number, since it is smaller than the sum of its proper divisors (21826252).

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

19820096 is a wasteful number, since it uses less digits than its factorization.

19820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18246 (or 18236 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 19820096 is about 4451.9766396512. The cubic root of 19820096 is about 270.6254180417.

The spelling of 19820096 in words is "nineteen million, eight hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 18217 36434 72868 145736 291472 309689 582944 619378 1165888 1238756 2477512 4955024 9910048 19820096