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1990008384 = 263721353307
BaseRepresentation
bin111011010011101…
…0001111001000000
312010200112220022020
41312213101321000
513033420232014
6525244441440
7100212535500
oct16647217100
95120486266
101990008384
11931342831
12476549280
13259389570
1414c417a00
15b9a8c1a9
hex769d1e40

1990008384 has 336 divisors, whose sum is σ = 6742346688. Its totient is φ = 513257472.

The previous prime is 1990008379. The next prime is 1990008401. The reversal of 1990008384 is 4838000991.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6481959 + ... + 6482265.

It is an arithmetic number, because the mean of its divisors is an integer number (20066508).

Almost surely, 21990008384 is an apocalyptic number.

1990008384 is a gapful number since it is divisible by the number (14) 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 1990008384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371173344).

1990008384 is an abundant number, since it is smaller than the sum of its proper divisors (4752338304).

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

1990008384 is a wasteful number, since it uses less digits than its factorization.

1990008384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1990008384 is about 44609.5100174839. The cubic root of 1990008384 is about 1257.8194383637.

The spelling of 1990008384 in words is "one billion, nine hundred ninety million, eight thousand, three hundred eighty-four".