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86151330 = 23352313873
BaseRepresentation
bin1010010001010…
…01000010100010
320000002221102000
411020221002202
5134023320310
612314304430
72064163026
oct510510242
9200087360
1086151330
11446a2851
1224a28116
1314b05225
14b628386
15786b4c0
hex52290a2

86151330 has 64 divisors (see below), whose sum is σ = 239742720. Its totient is φ = 21973248.

The previous prime is 86151323. The next prime is 86151343. The reversal of 86151330 is 3315168.

86151330 is a `hidden beast` number, since 8 + 615 + 13 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86151294 and 86151303.

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, 727 + ... + 13146.

It is an arithmetic number, because the mean of its divisors is an integer number (3745980).

Almost surely, 286151330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86151330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119871360).

86151330 is an abundant number, since it is smaller than the sum of its proper divisors (153591390).

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

86151330 is a wasteful number, since it uses less digits than its factorization.

86151330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13912 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 86151330 is about 9281.7740761128. The cubic root of 86151330 is about 441.6592481646.

Adding to 86151330 its reverse (3315168), we get a palindrome (89466498).

The spelling of 86151330 in words is "eighty-six million, one hundred fifty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 13873 27746 41619 69365 83238 124857 138730 208095 249714 319079 374571 416190 624285 638158 749142 957237 1248570 1595395 1872855 1914474 2871711 3190790 3745710 4786185 5743422 8615133 9572370 14358555 17230266 28717110 43075665 86151330