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1909980000 = 253654131
BaseRepresentation
bin111000111010111…
…1111101101100000
311221002222001000000
41301311333231200
512402423330000
6513305300000
765221363545
oct16165775540
94832861000
101909980000
118a0152275
12453794600
132459192a6
14141944bcc
15b2a30000
hex71d7fb60

1909980000 has 420 divisors, whose sum is σ = 7098812028. Its totient is φ = 505440000.

The previous prime is 1909979989. The next prime is 1909980001. The reversal of 1909980000 is 899091.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1909980001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 14579935 + ... + 14580065.

Almost surely, 21909980000 is an apocalyptic number.

1909980000 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 1909980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549406014).

1909980000 is an abundant number, since it is smaller than the sum of its proper divisors (5188832028).

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

1909980000 is an frugal number, since it uses more digits than its factorization.

1909980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1909980000 is about 43703.3179518443. The cubic root of 1909980000 is about 1240.7271143057.

It can be divided in two parts, 19099 and 80000, that added together give a palindrome (99099).

The spelling of 1909980000 in words is "one billion, nine hundred nine million, nine hundred eighty thousand".