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860816 = 24116773
BaseRepresentation
bin11010010001010010000
31121201211002
43102022100
5210021231
630241132
710213445
oct3221220
91551732
10860816
11538820
123561a8
13241a78
141859cc
151200cb
hexd2290

860816 has 40 divisors (see below), whose sum is σ = 1871904. Its totient is φ = 380160.

The previous prime is 860813. The next prime is 860819. The reversal of 860816 is 618068.

It is an interprime number because it is at equal distance from previous prime (860813) and next prime (860819).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 860816.

It is not an unprimeable number, because it can be changed into a prime (860813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11756 + ... + 11828.

2860816 is an apocalyptic number.

860816 is the 536-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 860816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935952).

860816 is an abundant number, since it is smaller than the sum of its proper divisors (1011088).

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

860816 is a wasteful number, since it uses less digits than its factorization.

860816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 860816 is about 927.8017029517. The cubic root of 860816 is about 95.1269217674.

The spelling of 860816 in words is "eight hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 67 73 88 134 146 176 268 292 536 584 737 803 1072 1168 1474 1606 2948 3212 4891 5896 6424 9782 11792 12848 19564 39128 53801 78256 107602 215204 430408 860816