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686412 = 223223829
BaseRepresentation
bin10100111100101001100
31021212120200
42213211030
5133431122
622413500
75556126
oct2474514
91255520
10686412
11429791
12291290
131b057c
1413c216
15d85ac
hexa794c

686412 has 36 divisors (see below), whose sum is σ = 1812720. Its totient is φ = 218592.

The previous prime is 686363. The next prime is 686417. The reversal of 686412 is 214686.

686412 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 (36).

It is a super-2 number, since 2×6864122 = 942322867488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (686417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414 + ... + 1242.

2686412 is an apocalyptic number.

It is a pronic number, being equal to 828×829.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906360).

686412 is an abundant number, since it is smaller than the sum of its proper divisors (1126308).

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

686412 is a wasteful number, since it uses less digits than its factorization.

686412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 857 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 686412 is about 828.4998491249. The cubic root of 686412 is about 88.2121259957.

The spelling of 686412 in words is "six hundred eighty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 829 1658 2487 3316 4974 7461 9948 14922 19067 29844 38134 57201 76268 114402 171603 228804 343206 686412