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868505180 = 2251725110177
BaseRepresentation
bin110011110001000…
…101011001011100
32020112020122010112
4303301011121130
53234314131210
6222103025152
730344113034
oct6361053134
92215218115
10868505180
11406280884
12202a3b1b8
1310ac1a1ba
14834bc8c4
15513a9d05
hex33c4565c

868505180 has 48 divisors (see below), whose sum is σ = 1939031136. Its totient is φ = 325632000.

The previous prime is 868505179. The next prime is 868505203. The reversal of 868505180 is 81505868.

868505180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80252 + ... + 90428.

It is an arithmetic number, because the mean of its divisors is an integer number (40396482).

Almost surely, 2868505180 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 868505180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969515568).

868505180 is an abundant number, since it is smaller than the sum of its proper divisors (1070525956).

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

868505180 is a wasteful number, since it uses less digits than its factorization.

868505180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 41.

The square root of 868505180 is about 29470.4119414711. The cubic root of 868505180 is about 954.0932083144.

The spelling of 868505180 in words is "eight hundred sixty-eight million, five hundred five thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 251 340 502 1004 1255 2510 4267 5020 8534 10177 17068 20354 21335 40708 42670 50885 85340 101770 173009 203540 346018 692036 865045 1730090 2554427 3460180 5108854 10217708 12772135 25544270 43425259 51088540 86850518 173701036 217126295 434252590 868505180