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86504220 = 223351114563
BaseRepresentation
bin1010010011111…
…11001100011100
320000202212111000
411021333030130
5134121113340
612330030300
72100162615
oct511771434
9200685430
1086504220
11449139a0
1224b78390
1314bc9a3a
14b6bac0c
1578dad30
hex527f31c

86504220 has 96 divisors (see below), whose sum is σ = 293610240. Its totient is φ = 20969280.

The previous prime is 86504203. The next prime is 86504227. The reversal of 86504220 is 2240568.

86504220 is a `hidden beast` number, since 8 + 650 + 4 + 2 + 2 + 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 not an unprimeable number, because it can be changed into a prime (86504227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342 + ... + 13221.

It is an arithmetic number, because the mean of its divisors is an integer number (3058440).

Almost surely, 286504220 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 86504220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146805120).

86504220 is an abundant number, since it is smaller than the sum of its proper divisors (207106020).

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

86504220 is a wasteful number, since it uses less digits than its factorization.

86504220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14592 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 86504220 is about 9300.7644847077. The cubic root of 86504220 is about 442.2614629324.

Adding to 86504220 its reverse (2240568), we get a palindrome (88744788).

The spelling of 86504220 in words is "eighty-six million, five hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 14563 29126 43689 58252 72815 87378 131067 145630 160193 174756 218445 262134 291260 320386 393201 436890 480579 524268 640772 655335 786402 800965 873780 961158 1310670 1441737 1572804 1601930 1922316 1966005 2402895 2621340 2883474 3203860 3932010 4325211 4805790 5766948 7208685 7864020 8650422 9611580 14417370 17300844 21626055 28834740 43252110 86504220