Search a number
-
+
859368 = 23361587
BaseRepresentation
bin11010001110011101000
31121122211110
43101303220
5204444433
630230320
710206306
oct3216350
91548743
10859368
11537724
123553a0
13241203
14185276
1511e963
hexd1ce8

859368 has 32 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 281280.

The previous prime is 859363. The next prime is 859373. The reversal of 859368 is 863958.

859368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (859363) and next prime (859373).

It is not an unprimeable number, because it can be changed into a prime (859361) by changing a digit.

859368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (68355).

2859368 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 859368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

859368 is an abundant number, since it is smaller than the sum of its proper divisors (1327992).

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

859368 is a wasteful number, since it uses less digits than its factorization.

859368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 859368 is about 927.0210353600. The cubic root of 859368 is about 95.0735533785.

Subtracting from 859368 its sum of digits (39), we obtain a square (859329 = 9272).

It can be divided in two parts, 85 and 9368, that added together give a triangular number (9453 = T137).

The spelling of 859368 in words is "eight hundred fifty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 587 732 1174 1464 1761 2348 3522 4696 7044 14088 35807 71614 107421 143228 214842 286456 429684 859368