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2091136000 = 2105317312
BaseRepresentation
bin111110010100100…
…0011010000000000
312101201211201022111
41330221003100000
513240312323000
6543300145104
7102551235262
oct17451032000
95351751274
102091136000
11983434478
124a4398194
132743063a5
1415ba1db32
15c38b5cba
hex7ca43400

2091136000 has 264 divisors, whose sum is σ = 5707740168. Its totient is φ = 761856000.

The previous prime is 2091135961. The next prime is 2091136007. The reversal of 2091136000 is 6311902.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 2082279424 = 2976^2 + 45632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2091136007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67455985 + ... + 67456015.

Almost surely, 22091136000 is an apocalyptic number.

2091136000 is a gapful number since it is divisible by the number (20) 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 2091136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853870084).

2091136000 is an abundant number, since it is smaller than the sum of its proper divisors (3616604168).

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

2091136000 is an equidigital number, since it uses as much as digits as its factorization.

2091136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 2091136000 is about 45728.9405081727. The cubic root of 2091136000 is about 1278.7748694276.

Adding to 2091136000 its reverse (6311902), we get a palindrome (2097447902).

The spelling of 2091136000 in words is "two billion, ninety-one million, one hundred thirty-six thousand".