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1930383840 = 2535711291801
BaseRepresentation
bin111001100001111…
…0101000111100000
311222112100122210210
41303003311013200
512423134240330
6515314454120
765556664140
oct16303650740
94875318723
101930383840
11900718a50
1245a594340
13249c11478
14144536920
15b47108b0
hex730f51e0

1930383840 has 384 divisors, whose sum is σ = 7846917120. Its totient is φ = 387072000.

The previous prime is 1930383823. The next prime is 1930383883. The reversal of 1930383840 is 483830391.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070940 + ... + 1072740.

It is an arithmetic number, because the mean of its divisors is an integer number (20434680).

Almost surely, 21930383840 is an apocalyptic number.

1930383840 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 1930383840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923458560).

1930383840 is an abundant number, since it is smaller than the sum of its proper divisors (5916533280).

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

1930383840 is a wasteful number, since it uses less digits than its factorization.

1930383840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1930383840 is about 43936.1336487406. The cubic root of 1930383840 is about 1245.1296005470.

It can be divided in two parts, 193038 and 3840, that added together give a triangular number (196878 = T627).

The spelling of 1930383840 in words is "one billion, nine hundred thirty million, three hundred eighty-three thousand, eight hundred forty".