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19350000 = 24325543
BaseRepresentation
bin100100111010…
…0000111110000
31100102002012200
41021310013300
514423200000
61530423200
7323320665
oct111640760
940362180
1019350000
11aa16a3a
126591b00
134016607
1427d9a6c
151a73500
hex12741f0

19350000 has 180 divisors, whose sum is σ = 69261192. Its totient is φ = 5040000.

The previous prime is 19349959. The next prime is 19350011. The reversal of 19350000 is 5391.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 449979 + ... + 450021.

Almost surely, 219350000 is an apocalyptic number.

19350000 is a gapful number since it is divisible by the number (10) 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 19350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34630596).

19350000 is an abundant number, since it is smaller than the sum of its proper divisors (49911192).

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

19350000 is an equidigital number, since it uses as much as digits as its factorization.

19350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 19350000 is about 4398.8634895846. The cubic root of 19350000 is about 268.4686979104.

Adding to 19350000 its reverse (5391), we get a palindrome (19355391).

The spelling of 19350000 in words is "nineteen million, three hundred fifty thousand".