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855616740 = 2235111931271
BaseRepresentation
bin110010111111111…
…010110011100100
32012121222211111220
4302333322303210
53223014213430
6220522500340
730126423306
oct6277726344
92177884456
10855616740
113a9a78580
121ba6646b0
131083569c4
14818c5976
15501b1110
hex32fface4

855616740 has 288 divisors, whose sum is σ = 2882718720. Its totient is φ = 187488000.

The previous prime is 855616693. The next prime is 855616787. The reversal of 855616740 is 47616558.

It is an interprime number because it is at equal distance from previous prime (855616693) and next prime (855616787).

It is a junction number, because it is equal to n+sod(n) for n = 855616692 and 855616701.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12050905 + ... + 12050975.

It is an arithmetic number, because the mean of its divisors is an integer number (10009440).

Almost surely, 2855616740 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 855616740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441359360).

855616740 is an abundant number, since it is smaller than the sum of its proper divisors (2027101980).

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

855616740 is a wasteful number, since it uses less digits than its factorization.

855616740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 855616740 is about 29250.9271647926. The cubic root of 855616740 is about 949.3501520638.

The spelling of 855616740 in words is "eight hundred fifty-five million, six hundred sixteen thousand, seven hundred forty".