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1683979020 = 2232510199181
BaseRepresentation
bin110010001011111…
…0111101100001100
311100100200222221100
41210113313230030
511422044312040
6435033303100
756505404553
oct14427675414
94310628840
101683979020
117946203a9
123abb64a90
1320ab5a2b9
1411d914d9a
159cc8bb30
hex645f7b0c

1683979020 has 72 divisors (see below), whose sum is σ = 5113639440. Its totient is φ = 448571520.

The previous prime is 1683979009. The next prime is 1683979021. The reversal of 1683979020 is 209793861.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1683979021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178830 + ... + 188010.

It is an arithmetic number, because the mean of its divisors is an integer number (71022770).

Almost surely, 21683979020 is an apocalyptic number.

1683979020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1683979020 is an abundant number, since it is smaller than the sum of its proper divisors (3429660420).

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

1683979020 is a wasteful number, since it uses less digits than its factorization.

1683979020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1683979020 is about 41036.3134309114. The cubic root of 1683979020 is about 1189.7221816910.

It can be divided in two parts, 16839 and 79020, that added together give a palindrome (95859).

The spelling of 1683979020 in words is "one billion, six hundred eighty-three million, nine hundred seventy-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1019 2038 3057 4076 5095 6114 9171 9181 10190 12228 15285 18342 18362 20380 27543 30570 36684 36724 45855 45905 55086 61140 82629 91710 91810 110172 137715 165258 183420 183620 275430 330516 413145 550860 826290 1652580 9355439 18710878 28066317 37421756 46777195 56132634 84198951 93554390 112265268 140331585 168397902 187108780 280663170 336795804 420994755 561326340 841989510 1683979020