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86134113 = 321337101197
BaseRepresentation
bin1010010001001…
…00110101100001
320000002001210100
411020210311201
5134022242423
612314053013
72064061602
oct510446541
9200061710
1086134113
114469091a
1224a1a169
1314aca440
14b621da9
157866343
hex5224d61

86134113 has 48 divisors (see below), whose sum is σ = 139675536. Its totient is φ = 50803200.

The previous prime is 86134109. The next prime is 86134129. The reversal of 86134113 is 31143168.

86134113 is a `hidden beast` number, since 8 + 613 + 41 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31270464 + 54863649 = 5592^2 + 7407^2 .

It is not a de Polignac number, because 86134113 - 22 = 86134109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86134313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 437131 + ... + 437327.

It is an arithmetic number, because the mean of its divisors is an integer number (2909907).

Almost surely, 286134113 is an apocalyptic number.

It is an amenable number.

86134113 is a deficient number, since it is larger than the sum of its proper divisors (53541423).

86134113 is a wasteful number, since it uses less digits than its factorization.

86134113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 351 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 86134113 is about 9280.8465669895. The cubic root of 86134113 is about 441.6298249242.

The spelling of 86134113 in words is "eighty-six million, one hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 3 9 13 37 39 101 111 117 197 303 333 481 591 909 1313 1443 1773 2561 3737 3939 4329 7289 7683 11211 11817 19897 21867 23049 33633 48581 59691 65601 94757 145743 179073 258661 284271 437229 736189 775983 852813 2208567 2327949 6625701 9570457 28711371 86134113