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86678160 = 2435361159
BaseRepresentation
bin1010010101010…
…01101010010000
320001002201002020
411022221222100
5134142200120
612333451440
72101516002
oct512515220
9201081066
1086678160
1144a22648
1225040b80
1314c5ac6a
14b724372
157922640
hex52a9a90

86678160 has 40 divisors (see below), whose sum is σ = 268703040. Its totient is φ = 23114112.

The previous prime is 86678159. The next prime is 86678173. The reversal of 86678160 is 6187668.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 180340 + ... + 180819.

It is an arithmetic number, because the mean of its divisors is an integer number (6717576).

Almost surely, 286678160 is an apocalyptic number.

86678160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86678160 is an abundant number, since it is smaller than the sum of its proper divisors (182024880).

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

86678160 is a wasteful number, since it uses less digits than its factorization.

86678160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361175 (or 361169 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 86678160 is about 9310.1106330698. The cubic root of 86678160 is about 442.5576930107.

The spelling of 86678160 in words is "eighty-six million, six hundred seventy-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 361159 722318 1083477 1444636 1805795 2166954 2889272 3611590 4333908 5417385 5778544 7223180 8667816 10834770 14446360 17335632 21669540 28892720 43339080 86678160