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682553060 = 2257172337337
BaseRepresentation
bin101000101011101…
…110111011100100
31202120100021202222
4220223232323210
52344213144220
6151421251512
722625414420
oct5053567344
91676307688
10682553060
11320313242
12170703b98
13ab541067
1466915b80
153edc7e25
hex28aeeee4

682553060 has 192 divisors, whose sum is σ = 1864332288. Its totient is φ = 204374016.

The previous prime is 682553059. The next prime is 682553063. The reversal of 682553060 is 60355286.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 682553060.

It is not an unprimeable number, because it can be changed into a prime (682553063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025212 + ... + 2025548.

It is an arithmetic number, because the mean of its divisors is an integer number (9710064).

Almost surely, 2682553060 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 682553060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932166144).

682553060 is an abundant number, since it is smaller than the sum of its proper divisors (1181779228).

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

682553060 is a wasteful number, since it uses less digits than its factorization.

682553060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 682553060 is about 26125.7164495062. The cubic root of 682553060 is about 880.4650864554.

The spelling of 682553060 in words is "six hundred eighty-two million, five hundred fifty-three thousand, sixty".