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86130126 = 232171731627
BaseRepresentation
bin1010010001000…
…11110111001110
320000001212022200
411020203313032
5134022131001
612314022330
72064044145
oct510436716
9200055280
1086130126
1144688925
1224a179a6
1314ac8694
14b62075c
157865086
hex5223dce

86130126 has 48 divisors (see below), whose sum is σ = 198856944. Its totient is φ = 26848512.

The previous prime is 86130091. The next prime is 86130127. The reversal of 86130126 is 62103168.

It is a self number, because there is not a number n which added to its sum of digits gives 86130126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86130127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52125 + ... + 53751.

It is an arithmetic number, because the mean of its divisors is an integer number (4142853).

Almost surely, 286130126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86130126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99428472).

86130126 is an abundant number, since it is smaller than the sum of its proper divisors (112726818).

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

86130126 is a wasteful number, since it uses less digits than its factorization.

86130126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1822 counting only the distinct ones).

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

The square root of 86130126 is about 9280.6317672883. The cubic root of 86130126 is about 441.6230107240.

The spelling of 86130126 in words is "eighty-six million, one hundred thirty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 173 306 346 519 1038 1557 1627 2941 3114 3254 4881 5882 8823 9762 14643 17646 26469 27659 29286 52938 55318 82977 165954 248931 281471 497862 562942 844413 1688826 2533239 4785007 5066478 9570014 14355021 28710042 43065063 86130126