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83873020 = 225711107509
BaseRepresentation
bin1001111111111…
…00110011111100
312211211012011011
410333330303330
5132432414040
612153405004
72035623520
oct477746374
9184735134
1083873020
1143387050
1224109764
13144b820a
14b1d3d80
15756b3ea
hex4ffccfc

83873020 has 96 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 25847040.

The previous prime is 83872991. The next prime is 83873057. The reversal of 83873020 is 2037838.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164526 + ... + 165034.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 283873020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83873020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

83873020 is an abundant number, since it is smaller than the sum of its proper divisors (138209540).

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

83873020 is a wasteful number, since it uses less digits than its factorization.

83873020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 83873020 is about 9158.2214430532. The cubic root of 83873020 is about 437.7311235942.

The spelling of 83873020 in words is "eighty-three million, eight hundred seventy-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 107 110 140 154 214 220 308 385 428 509 535 749 770 1018 1070 1177 1498 1540 2036 2140 2354 2545 2996 3563 3745 4708 5090 5599 5885 7126 7490 8239 10180 11198 11770 14252 14980 16478 17815 22396 23540 27995 32956 35630 39193 41195 54463 55990 71260 78386 82390 108926 111980 156772 164780 195965 217852 272315 381241 391930 544630 599093 762482 783860 1089260 1198186 1524964 1906205 2396372 2995465 3812410 4193651 5990930 7624820 8387302 11981860 16774604 20968255 41936510 83873020