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1923686940 = 223575389971
BaseRepresentation
bin111001010101001…
…0010001000011100
311222001202102101110
41302222102020130
512414430440230
6514515142020
765446032510
oct16252221034
94861672343
101923686940
118a796451a
124582a4910
132487081c6
141436b2140
15b3d3b4b0
hex72a9221c

1923686940 has 192 divisors, whose sum is σ = 6348948480. Its totient is φ = 426117120.

The previous prime is 1923686929. The next prime is 1923686971. The reversal of 1923686940 is 496863291.

It is a self number, because there is not a number n which added to its sum of digits gives 1923686940.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1980655 + ... + 1981625.

It is an arithmetic number, because the mean of its divisors is an integer number (33067440).

Almost surely, 21923686940 is an apocalyptic number.

1923686940 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 1923686940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174474240).

1923686940 is an abundant number, since it is smaller than the sum of its proper divisors (4425261540).

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

1923686940 is a wasteful number, since it uses less digits than its factorization.

1923686940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 1923686940 is about 43859.8556769171. The cubic root of 1923686940 is about 1243.6880617287.

The spelling of 1923686940 in words is "one billion, nine hundred twenty-three million, six hundred eighty-six thousand, nine hundred forty".