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682024 = 23719641
BaseRepresentation
bin10100110100000101000
31021122120011
42212200220
5133311044
622341304
75540260
oct2464050
91248504
10682024
11426462
1228a834
131ab585
1413a7a0
15d7134
hexa6828

682024 has 32 divisors (see below), whose sum is σ = 1540800. Its totient is φ = 276480.

The previous prime is 682009. The next prime is 682037. The reversal of 682024 is 420286.

It is a junction number, because it is equal to n+sod(n) for n = 681986 and 682004.

It is an unprimeable number.

682024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744 + ... + 1384.

It is an arithmetic number, because the mean of its divisors is an integer number (48150).

2682024 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 682024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770400).

682024 is an abundant number, since it is smaller than the sum of its proper divisors (858776).

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

682024 is a wasteful number, since it uses less digits than its factorization.

682024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 682024 is about 825.8474435391. The cubic root of 682024 is about 88.0237539181.

The spelling of 682024 in words is "six hundred eighty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 641 1064 1282 2564 4487 5128 8974 12179 17948 24358 35896 48716 85253 97432 170506 341012 682024