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864186680 = 23574436967
BaseRepresentation
bin110011100000100…
…111000100111000
32020020010020021002
4303200213010320
53232212433210
6221430304132
730262315460
oct6340470470
92206106232
10864186680
114038a1275
122014b8048
1310a067686
1482ab6ba0
1550d054a5
hex33827138

864186680 has 64 divisors (see below), whose sum is σ = 2227530240. Its totient is φ = 295581312.

The previous prime is 864186649. The next prime is 864186691. The reversal of 864186680 is 86681468.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 120557 + ... + 127523.

It is an arithmetic number, because the mean of its divisors is an integer number (34805160).

Almost surely, 2864186680 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 864186680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113765120).

864186680 is an abundant number, since it is smaller than the sum of its proper divisors (1363343560).

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

864186680 is a wasteful number, since it uses less digits than its factorization.

864186680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7424 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 864186680 is about 29397.0522331747. The cubic root of 864186680 is about 952.5092225440.

The spelling of 864186680 in words is "eight hundred sixty-four million, one hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 443 886 1772 2215 3101 3544 4430 6202 6967 8860 12404 13934 15505 17720 24808 27868 31010 34835 48769 55736 62020 69670 97538 124040 139340 195076 243845 278680 390152 487690 975380 1950760 3086381 6172762 12345524 15431905 21604667 24691048 30863810 43209334 61727620 86418668 108023335 123455240 172837336 216046670 432093340 864186680