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85036 = 2273037
BaseRepresentation
bin10100110000101100
311022122111
4110300230
510210121
61453404
7502630
oct246054
9138574
1085036
1158986
1241264
132c923
1422dc0
151a2e1
hex14c2c

85036 has 12 divisors (see below), whose sum is σ = 170128. Its totient is φ = 36432.

The previous prime is 85027. The next prime is 85037. The reversal of 85036 is 63058.

85036 = T113 + T114 + ... + T124.

85036 is an admirable number.

It is a super-2 number, since 2×850362 = 14462242592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 84998 and 85016.

It is not an unprimeable number, because it can be changed into a prime (85037) by changing a digit.

85036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1491 + ... + 1546.

285036 is an apocalyptic number.

It is an amenable number.

85036 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85064).

85036 is a wasteful number, since it uses less digits than its factorization.

85036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 85036 is about 291.6093276972. The cubic root of 85036 is about 43.9745031344.

Adding to 85036 its sum of digits (22), we get a palindrome (85058).

The spelling of 85036 in words is "eighty-five thousand, thirty-six".

Divisors: 1 2 4 7 14 28 3037 6074 12148 21259 42518 85036