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1683312660 = 223259351737
BaseRepresentation
bin110010001010101…
…0101000000010100
311100022110010212100
41210111111000110
511421412001120
6435011122100
756466631041
oct14425250024
94308403770
101683312660
11794205797
123ab8a3330
1320a985bc3
1411d7c01c8
159cba9490
hex64555014

1683312660 has 36 divisors (see below), whose sum is σ = 5106048948. Its totient is φ = 448883328.

The previous prime is 1683312649. The next prime is 1683312667. The reversal of 1683312660 is 662133861.

1683312660 is a `hidden beast` number, since 1 + 68 + 331 + 266 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 601034256 + 1082278404 = 24516^2 + 32898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×16833126602 = 5667083022632551200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683312667) 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, 4675689 + ... + 4676048.

It is an arithmetic number, because the mean of its divisors is an integer number (141834693).

Almost surely, 21683312660 is an apocalyptic number.

1683312660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1683312660 is an abundant number, since it is smaller than the sum of its proper divisors (3422736288).

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

1683312660 is a wasteful number, since it uses less digits than its factorization.

1683312660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9351752 (or 9351747 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1683312660 is about 41028.1934771688. The cubic root of 1683312660 is about 1189.5652343942.

The spelling of 1683312660 in words is "one billion, six hundred eighty-three million, three hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 9351737 18703474 28055211 37406948 46758685 56110422 84165633 93517370 112220844 140276055 168331266 187034740 280552110 336662532 420828165 561104220 841656330 1683312660