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86422140 = 2234577621
BaseRepresentation
bin1010010011010…
…11001001111100
320000121200220000
411021223021330
5134111002030
612324154300
72066401410
oct511531174
9200550800
1086422140
1144868262
1224b38990
1314b9b57c
14b698d40
1578c1860
hex526b27c

86422140 has 120 divisors (see below), whose sum is σ = 309880032. Its totient is φ = 19751040.

The previous prime is 86422099. The next prime is 86422151. The reversal of 86422140 is 4122468.

86422140 is a `hidden beast` number, since 8 + 642 + 2 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7530 + ... + 15150.

Almost surely, 286422140 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 86422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154940016).

86422140 is an abundant number, since it is smaller than the sum of its proper divisors (223457892).

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

86422140 is a wasteful number, since it uses less digits than its factorization.

86422140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 86422140 is about 9296.3508969918. The cubic root of 86422140 is about 442.1215379347.

The spelling of 86422140 in words is "eighty-six million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 7621 11340 15242 22863 30484 38105 45726 53347 68589 76210 91452 106694 114315 137178 152420 160041 205767 213388 228630 266735 274356 320082 342945 411534 457260 480123 533470 617301 640164 685890 800205 823068 960246 1028835 1066940 1234602 1371780 1440369 1600410 1920492 2057670 2400615 2469204 2880738 3086505 3200820 4115340 4321107 4801230 5761476 6173010 7201845 8642214 9602460 12346020 14403690 17284428 21605535 28807380 43211070 86422140