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1682983890 = 232572381629
BaseRepresentation
bin110010001010000…
…0100101111010010
311100021211102212200
41210110010233102
511421320441030
6435000104030
756464061400
oct14424045722
94307742780
101682983890
11794000785
123ab765016
1320a89c373
1411d736470
159cb41d60
hex64504bd2

1682983890 has 72 divisors (see below), whose sum is σ = 5090180940. Its totient is φ = 384681024.

The previous prime is 1682983877. The next prime is 1682983927. The reversal of 1682983890 is 983892861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1675183041 + 7800849 = 40929^2 + 2793^2 .

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 35 ways as a sum of consecutive naturals, for example, 186405 + ... + 195224.

Almost surely, 21682983890 is an apocalyptic number.

1682983890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1682983890 is an abundant number, since it is smaller than the sum of its proper divisors (3407197050).

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

1682983890 is a wasteful number, since it uses less digits than its factorization.

1682983890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381656 (or 381646 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 1682983890 is about 41024.1866464163. The cubic root of 1682983890 is about 1189.4877841704.

The spelling of 1682983890 in words is "one billion, six hundred eighty-two million, nine hundred eighty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 381629 763258 1144887 1908145 2289774 2671403 3434661 3816290 5342806 5724435 6869322 8014209 11448870 13357015 16028418 17173305 18699821 24042627 26714030 34346610 37399642 40071045 48085254 56099463 80142090 93499105 112198926 120213135 168298389 186998210 240426270 280497315 336596778 560994630 841491945 1682983890