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86446920 = 23357102913
BaseRepresentation
bin1010010011100…
…01001101001000
320000122221212210
411021301031020
5134112300140
612324505120
72066533560
oct511611510
9200587783
1086446920
114488493a
1224b4b1a0
1314ba9931
14b6a3da0
1578c8d80
hex5271348

86446920 has 64 divisors (see below), whose sum is σ = 296392320. Its totient is φ = 19759104.

The previous prime is 86446897. The next prime is 86446937. The reversal of 86446920 is 2964468.

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 15 ways as a sum of consecutive naturals, for example, 50617 + ... + 52296.

It is an arithmetic number, because the mean of its divisors is an integer number (4631130).

Almost surely, 286446920 is an apocalyptic number.

It is an amenable number.

86446920 is an abundant number, since it is smaller than the sum of its proper divisors (209945400).

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

86446920 is a wasteful number, since it uses less digits than its factorization.

86446920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102934 (or 102930 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 86446920 is about 9297.6835824844. The cubic root of 86446920 is about 442.1637907060.

The spelling of 86446920 in words is "eighty-six million, four hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 102913 205826 308739 411652 514565 617478 720391 823304 1029130 1234956 1440782 1543695 2058260 2161173 2469912 2881564 3087390 3601955 4116520 4322346 5763128 6174780 7203910 8644692 10805865 12349560 14407820 17289384 21611730 28815640 43223460 86446920