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683605 = 5132809
BaseRepresentation
bin10100110111001010101
31021201201201
42212321111
5133333410
622352501
75545006
oct2467125
91251651
10683605
1142766a
1228b731
131ac200
1413b1ad
15d783a
hexa6e55

683605 has 12 divisors (see below), whose sum is σ = 889380. Its totient is φ = 504192.

The previous prime is 683603. The next prime is 683651. The reversal of 683605 is 506386.

It can be written as a sum of positive squares in 6 ways, for example, as 40401 + 643204 = 201^2 + 802^2 .

It is not a de Polignac number, because 683605 - 21 = 683603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441 + ... + 1249.

It is an arithmetic number, because the mean of its divisors is an integer number (74115).

2683605 is an apocalyptic number.

683605 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

683605 is a deficient number, since it is larger than the sum of its proper divisors (205775).

683605 is a wasteful number, since it uses less digits than its factorization.

683605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 683605 is about 826.8040880402. The cubic root of 683605 is about 88.0917173915.

The spelling of 683605 in words is "six hundred eighty-three thousand, six hundred five".

Divisors: 1 5 13 65 169 809 845 4045 10517 52585 136721 683605