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682032 = 243131093
BaseRepresentation
bin10100110100000110000
31021122120110
42212200300
5133311112
622341320
75540301
oct2464060
91248513
10682032
1142646a
1228a840
131ab590
1413a7a8
15d713c
hexa6830

682032 has 40 divisors (see below), whose sum is σ = 1899184. Its totient is φ = 209664.

The previous prime is 682009. The next prime is 682037. The reversal of 682032 is 230286.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 682032.

It is not an unprimeable number, because it can be changed into a prime (682037) by changing a digit.

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, 78 + ... + 1170.

2682032 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 682032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949592).

682032 is an abundant number, since it is smaller than the sum of its proper divisors (1217152).

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

682032 is a wasteful number, since it uses less digits than its factorization.

682032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 682032 is about 825.8522870344. The cubic root of 682032 is about 88.0240980835.

The spelling of 682032 in words is "six hundred eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1093 2186 3279 4372 6558 8744 13116 14209 17488 26232 28418 42627 52464 56836 85254 113672 170508 227344 341016 682032