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86007216 = 24317105401
BaseRepresentation
bin1010010000001…
…01110110110000
312222211121201110
411020011312300
5134004212331
612311233320
72063022621
oct510056660
9188747643
1086007216
1144604549
1224978840
1314a84759
14b5cba48
15783d946
hex5205db0

86007216 has 40 divisors (see below), whose sum is σ = 235257264. Its totient is φ = 26982400.

The previous prime is 86007179. The next prime is 86007239. The reversal of 86007216 is 61270068.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51885 + ... + 53516.

Almost surely, 286007216 is an apocalyptic number.

It is an amenable number.

86007216 is an abundant number, since it is smaller than the sum of its proper divisors (149250048).

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

86007216 is a wasteful number, since it uses less digits than its factorization.

86007216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105429 (or 105423 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 86007216 is about 9274.0075479805. The cubic root of 86007216 is about 441.4128414260.

The spelling of 86007216 in words is "eighty-six million, seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 105401 210802 316203 421604 632406 843208 1264812 1686416 1791817 2529624 3583634 5059248 5375451 7167268 10750902 14334536 21501804 28669072 43003608 86007216