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190082304 = 28321723211
BaseRepresentation
bin10110101010001…
…10110100000000
3111020200011220100
423111012310000
5342130113204
630510042400
74465446546
oct1325066400
9436604810
10190082304
1198329715
12537a9400
13304c4049
141b35dd96
1511a4aa39
hexb546d00

190082304 has 216 divisors, whose sum is σ = 608392512. Its totient is φ = 56770560.

The previous prime is 190082279. The next prime is 190082311. The reversal of 190082304 is 403280091.

It is a super-2 number, since 2×1900823042 = 72262564587896832, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 900759 + ... + 900969.

It is an arithmetic number, because the mean of its divisors is an integer number (2816632).

Almost surely, 2190082304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304196256).

190082304 is an abundant number, since it is smaller than the sum of its proper divisors (418310208).

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

190082304 is a wasteful number, since it uses less digits than its factorization.

190082304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 190082304 is about 13787.0339087129. The cubic root of 190082304 is about 574.9727059508.

It can be divided in two parts, 19008 and 2304, that added together give a palindrome (21312).

The spelling of 190082304 in words is "one hundred ninety million, eighty-two thousand, three hundred four".