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680442 = 23717953
BaseRepresentation
bin10100110000111111010
31021120101120
42212013322
5133233232
622330110
75532540
oct2460772
91246346
10680442
11425254
12289936
131aa939
14139d90
15d692c
hexa61fa

680442 has 32 divisors (see below), whose sum is σ = 1648512. Its totient is φ = 182784.

The previous prime is 680441. The next prime is 680443. The reversal of 680442 is 244086.

It is an interprime number because it is at equal distance from previous prime (680441) and next prime (680443).

It is not an unprimeable number, because it can be changed into a prime (680441) 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 15 ways as a sum of consecutive naturals, for example, 238 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (51516).

2680442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824256).

680442 is an abundant number, since it is smaller than the sum of its proper divisors (968070).

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

680442 is a wasteful number, since it uses less digits than its factorization.

680442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 680442 is about 824.8890834530. The cubic root of 680442 is about 87.9556422451.

The spelling of 680442 in words is "six hundred eighty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 953 1906 2859 5718 6671 13342 16201 20013 32402 40026 48603 97206 113407 226814 340221 680442