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1680506985 = 35200355933
BaseRepresentation
bin110010000101010…
…1000000001101001
311100010011121012110
41210022220001221
511420202210420
6434431032533
756434034163
oct14412500151
94303147173
101680506985
11792669853
123aa96b749
1320a212b41
1411d28d933
159c802ee0
hex642a8069

1680506985 has 16 divisors (see below), whose sum is σ = 2690201664. Its totient is φ = 895806912.

The previous prime is 1680506981. The next prime is 1680507061. The reversal of 1680506985 is 5896050861.

It is not a de Polignac number, because 1680506985 - 22 = 1680506981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1680506981) 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, 2079 + ... + 58011.

It is an arithmetic number, because the mean of its divisors is an integer number (168137604).

Almost surely, 21680506985 is an apocalyptic number.

1680506985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1680506985 is a deficient number, since it is larger than the sum of its proper divisors (1009694679).

1680506985 is a wasteful number, since it uses less digits than its factorization.

1680506985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57944.

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 1680506985 is about 40993.9871810489. The cubic root of 1680506985 is about 1188.9039610363.

The spelling of 1680506985 in words is "one billion, six hundred eighty million, five hundred six thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 2003 6009 10015 30045 55933 167799 279665 838995 112033799 336101397 560168995 1680506985