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1897212240 = 2433571121761
BaseRepresentation
bin111000100010101…
…0010100101010000
311220012221100221000
41301011102211100
512341141242430
6512131502000
765005016010
oct16105224520
94805840830
101897212240
11893a21700
1244b457900
132430989c1
1413dd7dc40
15b185be60
hex71152950

1897212240 has 960 divisors, whose sum is σ = 8834434560. Its totient is φ = 364953600.

The previous prime is 1897212227. The next prime is 1897212269. The reversal of 1897212240 is 422127981.

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

It is a junction number, because it is equal to n+sod(n) for n = 1897212195 and 1897212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31101810 + ... + 31101870.

It is an arithmetic number, because the mean of its divisors is an integer number (9202536).

Almost surely, 21897212240 is an apocalyptic number.

1897212240 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 1897212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417217280).

1897212240 is an abundant number, since it is smaller than the sum of its proper divisors (6937222320).

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

1897212240 is a wasteful number, since it uses less digits than its factorization.

1897212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1897212240 is about 43556.9998966871. Note that the first 3 decimals coincide. The cubic root of 1897212240 is about 1237.9562761911.

The spelling of 1897212240 in words is "one billion, eight hundred ninety-seven million, two hundred twelve thousand, two hundred forty".