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85634106 = 23231095693
BaseRepresentation
bin1010001101010…
…10110000111010
312222010122220120
411012222300322
5133410242411
612255234110
72056610055
oct506526072
9188118816
1085634106
114437a198
1224818936
131498398c
14b531a9c
1577b8106
hex51aac3a

85634106 has 32 divisors (see below), whose sum is σ = 180385920. Its totient is φ = 27048384.

The previous prime is 85634077. The next prime is 85634123. The reversal of 85634106 is 60143658.

It is a super-2 number, since 2×856341062 = 14666400220838472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12196 + ... + 17888.

It is an arithmetic number, because the mean of its divisors is an integer number (5637060).

Almost surely, 285634106 is an apocalyptic number.

85634106 is an abundant number, since it is smaller than the sum of its proper divisors (94751814).

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

85634106 is a wasteful number, since it uses less digits than its factorization.

85634106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 85634106 is about 9253.8697851223. The cubic root of 85634106 is about 440.7736149162.

The spelling of 85634106 in words is "eighty-five million, six hundred thirty-four thousand, one hundred six".

Divisors: 1 2 3 6 23 46 69 109 138 218 327 654 2507 5014 5693 7521 11386 15042 17079 34158 130939 261878 392817 620537 785634 1241074 1861611 3723222 14272351 28544702 42817053 85634106