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19123104 = 25371113199
BaseRepresentation
bin100100011110…
…0101110100000
31022222112222010
41020330232200
514343414404
61521512520
7321354330
oct110745640
938875863
1019123104
11a881520
1264a2740
133c67260
14277b0c0
151a2b189
hex123cba0

19123104 has 192 divisors, whose sum is σ = 67737600. Its totient is φ = 4561920.

The previous prime is 19123099. The next prime is 19123121. The reversal of 19123104 is 40132191.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 95997 + ... + 96195.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 219123104 is an apocalyptic number.

19123104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

19123104 is an abundant number, since it is smaller than the sum of its proper divisors (48614496).

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

19123104 is a wasteful number, since it uses less digits than its factorization.

19123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 19123104 is about 4372.9971415495. The cubic root of 19123104 is about 267.4152245408.

Adding to 19123104 its reverse (40132191), we get a palindrome (59255295).

The spelling of 19123104 in words is "nineteen million, one hundred twenty-three thousand, one hundred four".