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86800005 = 3451072003
BaseRepresentation
bin1010010110001…
…11011010000101
320001022220020000
411023013122011
5134210100010
612340231513
72102534145
oct513073205
9201286200
1086800005
1144aa6146
122509b599
1314ca1566
14b756925
1579487c0
hex52c7685

86800005 has 40 divisors (see below), whose sum is σ = 157129632. Its totient is φ = 45837792.

The previous prime is 86800001. The next prime is 86800073. The reversal of 86800005 is 50000868.

It is not a de Polignac number, because 86800005 - 22 = 86800001 is a prime.

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 (86800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42334 + ... + 44336.

Almost surely, 286800005 is an apocalyptic number.

It is an amenable number.

86800005 is a deficient number, since it is larger than the sum of its proper divisors (70329627).

86800005 is a wasteful number, since it uses less digits than its factorization.

With its successor (86800006) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2127).

86800005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 86800005 is about 9316.6520274184. The cubic root of 86800005 is about 442.7649662723.

The spelling of 86800005 in words is "eighty-six million, eight hundred thousand, five".

Divisors: 1 3 5 9 15 27 45 81 107 135 321 405 535 963 1605 2003 2889 4815 6009 8667 10015 14445 18027 30045 43335 54081 90135 162243 214321 270405 642963 811215 1071605 1928889 3214815 5786667 9644445 17360001 28933335 86800005