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19020384 = 2532211313
BaseRepresentation
bin100100010001…
…1101001100000
31022210100001200
41020203221200
514332123014
61515401200
7320446005
oct110435140
938710050
1019020384
11a811329
126453200
133c2c586
1427518ac
151a0aa09
hex1223a60

19020384 has 72 divisors (see below), whose sum is σ = 54519192. Its totient is φ = 6289920.

The previous prime is 19020373. The next prime is 19020401. The reversal of 19020384 is 48302091.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60612 + ... + 60924.

It is an arithmetic number, because the mean of its divisors is an integer number (757211).

Almost surely, 219020384 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 19020384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27259596).

19020384 is an abundant number, since it is smaller than the sum of its proper divisors (35498808).

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

19020384 is a wasteful number, since it uses less digits than its factorization.

19020384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19020384 is about 4361.2365219052. The cubic root of 19020384 is about 266.9355565550.

The spelling of 19020384 in words is "nineteen million, twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 313 422 626 633 844 939 1252 1266 1688 1878 1899 2504 2532 2817 3376 3756 3798 5008 5064 5634 6752 7512 7596 10016 10128 11268 15024 15192 20256 22536 30048 30384 45072 60768 66043 90144 132086 198129 264172 396258 528344 594387 792516 1056688 1188774 1585032 2113376 2377548 3170064 4755096 6340128 9510192 19020384