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1090800000 = 273355101
BaseRepresentation
bin100000100000100…
…0100100110000000
32211000112101022000
41001001010212000
54213221100000
6300123344000
736013434633
oct10101044600
92730471260
101090800000
1150a801204
12265382000
13144cac2b4
14a4c25c1a
1565b6a000
hex41044980

1090800000 has 384 divisors, whose sum is σ = 4063802400. Its totient is φ = 288000000.

The previous prime is 1090799977. The next prime is 1090800037. The reversal of 1090800000 is 80901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10799950 + ... + 10800050.

Almost surely, 21090800000 is an apocalyptic number.

1090800000 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 1090800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031901200).

1090800000 is an abundant number, since it is smaller than the sum of its proper divisors (2973002400).

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

1090800000 is an frugal number, since it uses more digits than its factorization.

1090800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1090800000 is about 33027.2614668549. The cubic root of 1090800000 is about 1029.3941829730.

Adding to 1090800000 its reverse (80901), we get a palindrome (1090880901).

The spelling of 1090800000 in words is "one billion, ninety million, eight hundred thousand".