Search a number
-
+
1905668856 = 2334713171901
BaseRepresentation
bin111000110010110…
…0011001011111000
311220210212000020000
41301211203023320
512400322400411
6513033033000
765136626610
oct16145431370
94823760200
101905668856
11898778243
12452255760
13244a69c10
14141141a40
15b247c956
hex719632f8

1905668856 has 320 divisors, whose sum is σ = 6959494080. Its totient is φ = 472780800.

The previous prime is 1905668813. The next prime is 1905668857. The reversal of 1905668856 is 6588665091.

It is a happy number.

1905668856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1905668857) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1001506 + ... + 1003406.

It is an arithmetic number, because the mean of its divisors is an integer number (21748419).

Almost surely, 21905668856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1905668856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479747040).

1905668856 is an abundant number, since it is smaller than the sum of its proper divisors (5053825224).

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

1905668856 is a wasteful number, since it uses less digits than its factorization.

1905668856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 1905668856 is about 43653.9672423939. The cubic root of 1905668856 is about 1239.7929015910.

It can be divided in two parts, 1905 and 668856, that added together give a square (670761 = 8192).

The spelling of 1905668856 in words is "one billion, nine hundred five million, six hundred sixty-eight thousand, eight hundred fifty-six".