Search a number
-
+
685536 = 25337193
BaseRepresentation
bin10100111010111100000
31021211101020
42213113200
5133414121
622405440
75553435
oct2472740
91254336
10685536
11429065
12290880
131b0057
1413bb8c
15d81c6
hexa75e0

685536 has 48 divisors (see below), whose sum is σ = 1857744. Its totient is φ = 221184.

The previous prime is 685519. The next prime is 685537. The reversal of 685536 is 635586.

685536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 685497 and 685506.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 685536.

It is not an unprimeable number, because it can be changed into a prime (685537) by changing a digit.

685536 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, 3456 + ... + 3648.

It is an arithmetic number, because the mean of its divisors is an integer number (38703).

2685536 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 685536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928872).

685536 is an abundant number, since it is smaller than the sum of its proper divisors (1172208).

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

685536 is a wasteful number, since it uses less digits than its factorization.

685536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 685536 is about 827.9710139854. The cubic root of 685536 is about 88.1745845395.

It can be divided in two parts, 685 and 536, that added together give a palindrome (1221).

The spelling of 685536 in words is "six hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 193 222 296 386 444 579 592 772 888 1158 1184 1544 1776 2316 3088 3552 4632 6176 7141 9264 14282 18528 21423 28564 42846 57128 85692 114256 171384 228512 342768 685536