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1682956820 = 225172291169
BaseRepresentation
bin110010001001111…
…1110001000010100
311100021210001202002
41210103332020110
511421314104240
6434555334432
756463616436
oct14423761024
94307701662
101682956820
11793a92406
123ab751418
1320a88cc4c
1411d72a656
159cb38d15
hex644fe214

1682956820 has 36 divisors (see below), whose sum is σ = 3754345980. Its totient is φ = 633581568.

The previous prime is 1682956789. The next prime is 1682956843. The reversal of 1682956820 is 286592861.

It can be written as a sum of positive squares in 6 ways, for example, as 38167684 + 1644789136 = 6178^2 + 40556^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139805 + ... + 151364.

Almost surely, 21682956820 is an apocalyptic number.

1682956820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682956820 is an abundant number, since it is smaller than the sum of its proper divisors (2071389160).

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

1682956820 is a wasteful number, since it uses less digits than its factorization.

1682956820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291212 (or 291193 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 1682956820 is about 41023.8567177685. The cubic root of 1682956820 is about 1189.4814066867.

The spelling of 1682956820 in words is "one billion, six hundred eighty-two million, nine hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 291169 582338 1164676 1455845 2911690 4949873 5823380 9899746 19799492 24749365 49498730 84147841 98997460 168295682 336591364 420739205 841478410 1682956820