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685368 = 233319167
BaseRepresentation
bin10100111010100111000
31021211011000
42213110320
5133412433
622405000
75553105
oct2472470
91254130
10685368
11428a22
12290760
131acc58
1413baac
15d8113
hexa7538

685368 has 64 divisors (see below), whose sum is σ = 2016000. Its totient is φ = 215136.

The previous prime is 685367. The next prime is 685369. The reversal of 685368 is 863586.

685368 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 (685367) and next prime (685369).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685361) 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, 4021 + ... + 4187.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2685368 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 685368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008000).

685368 is an abundant number, since it is smaller than the sum of its proper divisors (1330632).

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

685368 is a wasteful number, since it uses less digits than its factorization.

685368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

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

The square root of 685368 is about 827.8695549421. The cubic root of 685368 is about 88.1673811539.

The spelling of 685368 in words is "six hundred eighty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 167 171 216 228 334 342 456 501 513 668 684 1002 1026 1336 1368 1503 2004 2052 3006 3173 4008 4104 4509 6012 6346 9018 9519 12024 12692 18036 19038 25384 28557 36072 38076 57114 76152 85671 114228 171342 228456 342684 685368