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860016 = 243192341
BaseRepresentation
bin11010001111101110000
31121200201110
43101331300
5210010031
630233320
710211223
oct3217560
91550643
10860016
11538163
12355840
132415b1
141855ba
1511ec46
hexd1f70

860016 has 80 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 253440.

The previous prime is 860011. The next prime is 860029. The reversal of 860016 is 610068.

860016 is a nontrivial binomial coefficient, being equal to C(1312, 2).

It is a junction number, because it is equal to n+sod(n) for n = 859974 and 860001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860011) by changing a digit.

860016 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 20956 + ... + 20996.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2860016 is an apocalyptic number.

860016 is the 1311-st triangular number and also the 656-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 860016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

860016 is an abundant number, since it is smaller than the sum of its proper divisors (1639824).

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

860016 is a wasteful number, since it uses less digits than its factorization.

860016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 860016 is about 927.3704761313. The cubic root of 860016 is about 95.0974438749.

The spelling of 860016 in words is "eight hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 41 46 48 57 69 76 82 92 114 123 138 152 164 184 228 246 276 304 328 368 437 456 492 552 656 779 874 912 943 984 1104 1311 1558 1748 1886 1968 2337 2622 2829 3116 3496 3772 4674 5244 5658 6232 6992 7544 9348 10488 11316 12464 15088 17917 18696 20976 22632 35834 37392 45264 53751 71668 107502 143336 215004 286672 430008 860016