Search a number
-
+
866320812 = 223373730971
BaseRepresentation
bin110011101000110…
…000000110101100
32020101010122202000
4303220300012230
53233234231222
6221544132300
730316414440
oct6350600654
92211118660
10866320812
11405019715
12202167090
1310a633b86
14830b0820
15510c79ac
hex33a301ac

866320812 has 96 divisors (see below), whose sum is σ = 2636336640. Its totient is φ = 240822720.

The previous prime is 866320811. The next prime is 866320817. The reversal of 866320812 is 218023668.

866320812 is a `hidden beast` number, since 8 + 6 + 632 + 0 + 8 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (866320811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12487 + ... + 43457.

It is an arithmetic number, because the mean of its divisors is an integer number (27461840).

Almost surely, 2866320812 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 866320812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318168320).

866320812 is an abundant number, since it is smaller than the sum of its proper divisors (1770015828).

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

866320812 is a wasteful number, since it uses less digits than its factorization.

866320812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31028 (or 31020 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 866320812 is about 29433.3282521702. The cubic root of 866320812 is about 953.2926602803.

The spelling of 866320812 in words is "eight hundred sixty-six million, three hundred twenty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1332 1554 1998 2331 3108 3996 4662 6993 9324 13986 27972 30971 61942 92913 123884 185826 216797 278739 371652 433594 557478 650391 836217 867188 1114956 1145927 1300782 1672434 1951173 2291854 2601564 3344868 3437781 3902346 4583708 5853519 6875562 7804692 8021489 10313343 11707038 13751124 16042978 20626686 23414076 24064467 30940029 32085956 41253372 48128934 61880058 72193401 96257868 123760116 144386802 216580203 288773604 433160406 866320812