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685944 = 233271361
BaseRepresentation
bin10100111011101111000
31021211221100
42213131320
5133422234
622411400
75554560
oct2473570
91254840
10685944
114293a6
12290b60
131b02ac
1413bda0
15d8399
hexa7778

685944 has 48 divisors (see below), whose sum is σ = 2124720. Its totient is φ = 195840.

The previous prime is 685939. The next prime is 685963. The reversal of 685944 is 449586.

685944 is a `hidden beast` number, since 68 + 594 + 4 = 666.

It is a super-2 number, since 2×6859442 = 941038342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 685899 and 685908.

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 685944.

It is an unprimeable number.

685944 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 11 ways as a sum of consecutive naturals, for example, 177 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (44265).

2685944 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 685944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062360).

685944 is an abundant number, since it is smaller than the sum of its proper divisors (1438776).

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

685944 is a wasteful number, since it uses less digits than its factorization.

685944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1373 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 685944 is about 828.2173627738. The cubic root of 685944 is about 88.1920735777.

It can be divided in two parts, 6859 and 44, that added together give a triangular number (6903 = T117).

The spelling of 685944 in words is "six hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1361 2722 4083 5444 8166 9527 10888 12249 16332 19054 24498 28581 32664 38108 48996 57162 76216 85743 97992 114324 171486 228648 342972 685944