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19290096 = 243376379
BaseRepresentation
bin100100110010…
…1011111110000
31100022001001000
41021211133300
514414240341
61525242000
7322651230
oct111453760
940261030
1019290096
11a985a31
126563300
133cc5277
1427c1cc0
151a608b6
hex12657f0

19290096 has 80 divisors (see below), whose sum is σ = 63289600. Its totient is φ = 5510592.

The previous prime is 19290083. The next prime is 19290097. The reversal of 19290096 is 69009291.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 19290096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19290097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166 + ... + 6213.

It is an arithmetic number, because the mean of its divisors is an integer number (791120).

Almost surely, 219290096 is an apocalyptic number.

19290096 is a gapful number since it is divisible by the number (16) 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 19290096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31644800).

19290096 is an abundant number, since it is smaller than the sum of its proper divisors (43999504).

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

19290096 is a wasteful number, since it uses less digits than its factorization.

19290096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 19290096 is about 4392.0491800525. The cubic root of 19290096 is about 268.1913684794.

The spelling of 19290096 in words is "nineteen million, two hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 6379 12758 19137 25516 38274 44653 51032 57411 76548 89306 102064 114822 133959 153096 172233 178612 229644 267918 306192 344466 357224 401877 459288 535836 688932 714448 803754 918576 1071672 1205631 1377864 1607508 2143344 2411262 2755728 3215016 4822524 6430032 9645048 19290096