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1990541700 = 2232527245137
BaseRepresentation
bin111011010100101…
…0100000110000100
312010201112222212200
41312221110012010
513034034313300
6525304114500
7100220216400
oct16651240604
95121488780
101990541700
11931677494
12476765a30
13259515234
1414c516100
15b9b45200
hex76a54184

1990541700 has 162 divisors, whose sum is σ = 7258054986. Its totient is φ = 454970880.

The previous prime is 1990541699. The next prime is 1990541737. The reversal of 1990541700 is 71450991.

It can be written as a sum of positive squares in 3 ways, for example, as 4769856 + 1985771844 = 2184^2 + 44562^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 53 ways as a sum of consecutive naturals, for example, 21532 + ... + 66668.

Almost surely, 21990541700 is an apocalyptic number.

1990541700 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 1990541700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629027493).

1990541700 is an abundant number, since it is smaller than the sum of its proper divisors (5267513286).

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

1990541700 is a wasteful number, since it uses less digits than its factorization.

1990541700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45171 (or 45154 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1990541700 is about 44615.4872213674. The cubic root of 1990541700 is about 1257.9317922145.

The spelling of 1990541700 in words is "one billion, nine hundred ninety million, five hundred forty-one thousand, seven hundred".