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1990286584 = 23111313192
BaseRepresentation
bin111011010100001…
…0101110011111000
312010201002000220221
41312220111303320
513034003132314
6525254425424
7100215104536
oct16650256370
95121060827
101990286584
11931512850
12476662274
13259456090
1414c48b156
15b9ae4824
hex76a15cf8

1990286584 has 48 divisors (see below), whose sum is σ = 4387524120. Its totient is φ = 834452160.

The previous prime is 1990286569. The next prime is 1990286593. The reversal of 1990286584 is 4856820991.

It is a super-2 number, since 2×19902865842 = 7922481372900778112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1508277 + ... + 1509595.

Almost surely, 21990286584 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 1990286584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193762060).

1990286584 is an abundant number, since it is smaller than the sum of its proper divisors (2397237536).

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

1990286584 is a wasteful number, since it uses less digits than its factorization.

1990286584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The square root of 1990286584 is about 44612.6280777091. The cubic root of 1990286584 is about 1257.8780493501.

The spelling of 1990286584 in words is "one billion, nine hundred ninety million, two hundred eighty-six thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1319 2638 5276 10552 14509 17147 29018 34294 58036 68588 116072 137176 188617 377234 754468 1508936 1739761 3479522 6959044 13918088 19137371 22616893 38274742 45233786 76549484 90467572 153098968 180935144 248785823 497571646 995143292 1990286584