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86106405 = 3571174551
BaseRepresentation
bin1010010000111…
…10000100100101
320000000122210010
411020132010211
5134020401110
612313320433
72063615040
oct510360445
9200018703
1086106405
1144672020
1224a06119
1314aba948
14b615c57
15785d020
hex521e125

86106405 has 32 divisors (see below), whose sum is σ = 171767808. Its totient is φ = 35784000.

The previous prime is 86106367. The next prime is 86106421. The reversal of 86106405 is 50460168.

86106405 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 86106405 - 26 = 86106341 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 36121 + ... + 38430.

It is an arithmetic number, because the mean of its divisors is an integer number (5367744).

Almost surely, 286106405 is an apocalyptic number.

It is an amenable number.

86106405 is a deficient number, since it is larger than the sum of its proper divisors (85661403).

86106405 is a wasteful number, since it uses less digits than its factorization.

86106405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74577.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 86106405 is about 9279.3536951665. The cubic root of 86106405 is about 441.5824647046.

It can be divided in two parts, 86 and 106405, that added together give a triangular number (106491 = T461).

The spelling of 86106405 in words is "eighty-six million, one hundred six thousand, four hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 74551 223653 372755 521857 820061 1118265 1565571 2460183 2609285 4100305 5740427 7827855 12300915 17221281 28702135 86106405