Search a number
-
+
864363780 = 223257686003
BaseRepresentation
bin110011100001010…
…010010100000100
32020020110020012100
4303201102110010
53232234120110
6221434152100
730263654010
oct6341222404
92206406170
10864363780
11403a02335
12201582630
1310a0ca177
1482b21540
1550d3cbc0
hex33852504

864363780 has 72 divisors (see below), whose sum is σ = 2996465472. Its totient is φ = 197568576.

The previous prime is 864363779. The next prime is 864363823. The reversal of 864363780 is 87363468.

864363780 is a `hidden beast` number, since 8 + 6 + 4 + 3 + 637 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341742 + ... + 344261.

It is an arithmetic number, because the mean of its divisors is an integer number (41617576).

Almost surely, 2864363780 is an apocalyptic number.

It is an amenable number.

864363780 is an abundant number, since it is smaller than the sum of its proper divisors (2132101692).

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

864363780 is a wasteful number, since it uses less digits than its factorization.

864363780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686025 (or 686020 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 864363780 is about 29400.0642856440. The cubic root of 864363780 is about 952.5742848217.

The spelling of 864363780 in words is "eight hundred sixty-four million, three hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 686003 1372006 2058009 2744012 3430015 4116018 4802021 6174027 6860030 8232036 9604042 10290045 12348054 13720060 14406063 19208084 20580090 24010105 24696108 28812126 30870135 41160180 43218189 48020210 57624252 61740270 72030315 86436378 96040420 123480540 144060630 172872756 216090945 288121260 432181890 864363780