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19834050 = 2352235749
BaseRepresentation
bin100101110101…
…0010011000010
31101022200012110
41023222103002
520034142200
61545040150
7330405135
oct113522302
941280173
1019834050
1110217685
126786056
134155a32
1428c421c
151b1bb50
hex12ea4c2

19834050 has 48 divisors (see below), whose sum is σ = 51336000. Its totient is φ = 5058240.

The previous prime is 19834039. The next prime is 19834091. The reversal of 19834050 is 5043891.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19833999 and 19834017.

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 23 ways as a sum of consecutive naturals, for example, 576 + ... + 6324.

It is an arithmetic number, because the mean of its divisors is an integer number (1069500).

Almost surely, 219834050 is an apocalyptic number.

19834050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19834050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25668000).

19834050 is an abundant number, since it is smaller than the sum of its proper divisors (31501950).

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

19834050 is a wasteful number, since it uses less digits than its factorization.

19834050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 19834050 is about 4453.5435329634. The cubic root of 19834050 is about 270.6889128773.

The spelling of 19834050 in words is "nineteen million, eight hundred thirty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 3450 5749 11498 17247 28745 34494 57490 86235 132227 143725 172470 264454 287450 396681 431175 661135 793362 862350 1322270 1983405 3305675 3966810 6611350 9917025 19834050