Search a number
-
+
860664 = 233747109
BaseRepresentation
bin11010010000111111000
31121201121110
43102013320
5210020124
630240320
710213140
oct3220770
91551543
10860664
115386a2
123560a0
1324198c
14185920
15120029
hexd21f8

860664 has 64 divisors (see below), whose sum is σ = 2534400. Its totient is φ = 238464.

The previous prime is 860663. The next prime is 860689. The reversal of 860664 is 466068.

It is a happy number.

860664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7842 + ... + 7950.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2860664 is an apocalyptic number.

860664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 860664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267200).

860664 is an abundant number, since it is smaller than the sum of its proper divisors (1673736).

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

860664 is a wasteful number, since it uses less digits than its factorization.

860664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 860664 is about 927.7197852800. The cubic root of 860664 is about 95.1213223736.

The spelling of 860664 in words is "eight hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 109 141 168 188 218 282 327 329 376 436 564 654 658 763 872 987 1128 1308 1316 1526 1974 2289 2616 2632 3052 3948 4578 5123 6104 7896 9156 10246 15369 18312 20492 30738 35861 40984 61476 71722 107583 122952 143444 215166 286888 430332 860664