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86506860 = 223511131071
BaseRepresentation
bin1010010011111…
…11110101101100
320000210000002210
411021333311230
5134121204420
612330050420
72100203406
oct511776554
9200700083
1086506860
1144915980
1224b79a10
1314bcacbb
14b6bbb76
1578db9e0
hex527fd6c

86506860 has 48 divisors (see below), whose sum is σ = 264241152. Its totient is φ = 20971200.

The previous prime is 86506859. The next prime is 86506877. The reversal of 86506860 is 6860568.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64876 + ... + 66195.

It is an arithmetic number, because the mean of its divisors is an integer number (5505024).

Almost surely, 286506860 is an apocalyptic number.

It is an amenable number.

86506860 is an abundant number, since it is smaller than the sum of its proper divisors (177734292).

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

86506860 is a wasteful number, since it uses less digits than its factorization.

86506860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131094 (or 131092 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 86506860 is about 9300.9064074422. The cubic root of 86506860 is about 442.2659619745.

The spelling of 86506860 in words is "eighty-six million, five hundred six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 131071 262142 393213 524284 655355 786426 1310710 1441781 1572852 1966065 2621420 2883562 3932130 4325343 5767124 7208905 7864260 8650686 14417810 17301372 21626715 28835620 43253430 86506860