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19106304 = 29371777
BaseRepresentation
bin100100011100…
…0101000000000
31022221200220220
41020320220000
514342400204
61521303040
7321254340
oct110705000
938850826
1019106304
11a86a938
126494a80
133c5c709
142774d20
151a261d9
hex1238a00

19106304 has 80 divisors (see below), whose sum is σ = 58204608. Its totient is φ = 5455872.

The previous prime is 19106291. The next prime is 19106309. The reversal of 19106304 is 40360191.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (19106309) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9864 + ... + 11640.

Almost surely, 219106304 is an apocalyptic number.

19106304 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 19106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29102304).

19106304 is an abundant number, since it is smaller than the sum of its proper divisors (39098304).

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

19106304 is an equidigital number, since it uses as much as digits as its factorization.

19106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 19106304 is about 4371.0758401108. The cubic root of 19106304 is about 267.3368918597.

Adding to 19106304 its reverse (40360191), we get a palindrome (59466495).

The spelling of 19106304 in words is "nineteen million, one hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1777 1792 2688 3554 3584 5331 5376 7108 10662 10752 12439 14216 21324 24878 28432 37317 42648 49756 56864 74634 85296 99512 113728 149268 170592 199024 227456 298536 341184 398048 454912 597072 682368 796096 909824 1194144 1364736 1592192 2388288 2729472 3184384 4776576 6368768 9553152 19106304