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1683868020 = 2235172636277
BaseRepresentation
bin110010001011101…
…1100100101110100
311100100111100200020
41210113130211310
511422032234040
6435031045140
756504433132
oct14427344564
94310440606
101683868020
11794554a6a
123abb107b0
1320ab1b913
1411d8c6752
159cc68cd0
hex645dc974

1683868020 has 96 divisors (see below), whose sum is σ = 5011953408. Its totient is φ = 420943872.

The previous prime is 1683868007. The next prime is 1683868057. The reversal of 1683868020 is 208683861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265122 + ... + 271398.

It is an arithmetic number, because the mean of its divisors is an integer number (52207848).

Almost surely, 21683868020 is an apocalyptic number.

1683868020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683868020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505976704).

1683868020 is an abundant number, since it is smaller than the sum of its proper divisors (3328085388).

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

1683868020 is a wasteful number, since it uses less digits than its factorization.

1683868020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6567 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1683868020 is about 41034.9609479527. The cubic root of 1683868020 is about 1189.6960408143.

The spelling of 1683868020 in words is "one billion, six hundred eighty-three million, eight hundred sixty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 263 340 510 526 789 1020 1052 1315 1578 2630 3156 3945 4471 5260 6277 7890 8942 12554 13413 15780 17884 18831 22355 25108 26826 31385 37662 44710 53652 62770 67065 75324 89420 94155 106709 125540 134130 188310 213418 268260 320127 376620 426836 533545 640254 1067090 1280508 1600635 1650851 2134180 3201270 3301702 4952553 6402540 6603404 8254255 9905106 16508510 19810212 24762765 28064467 33017020 49525530 56128934 84193401 99051060 112257868 140322335 168386802 280644670 336773604 420967005 561289340 841934010 1683868020