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1687239820 = 2257101911827
BaseRepresentation
bin110010010010001…
…0011110010001100
311100120211122220201
41210210103302030
511423413133240
6435231223244
756545205350
oct14444236214
94316748821
101687239820
11796448282
123b1077b24
1320b72c576
14120123460
159d1d2d9a
hex64913c8c

1687239820 has 48 divisors (see below), whose sum is σ = 4053692160. Its totient is φ = 577865664.

The previous prime is 1687239787. The next prime is 1687239857. The reversal of 1687239820 is 289327861.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136747 + ... + 148573.

It is an arithmetic number, because the mean of its divisors is an integer number (84451920).

Almost surely, 21687239820 is an apocalyptic number.

1687239820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1687239820 is an abundant number, since it is smaller than the sum of its proper divisors (2366452340).

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

1687239820 is a wasteful number, since it uses less digits than its factorization.

1687239820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12862 (or 12860 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 1687239820 is about 41076.0248807014. The cubic root of 1687239820 is about 1190.4895991638.

The spelling of 1687239820 in words is "one billion, six hundred eighty-seven million, two hundred thirty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1019 2038 4076 5095 7133 10190 11827 14266 20380 23654 28532 35665 47308 59135 71330 82789 118270 142660 165578 236540 331156 413945 827890 1655780 12051713 24103426 48206852 60258565 84361991 120517130 168723982 241034260 337447964 421809955 843619910 1687239820