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32000085 = 32513192879
BaseRepresentation
bin111101000010…
…0100001010101
32020012202212100
41322010201111
531143000320
63101512313
7535665465
oct172044125
966182770
1032000085
1117077157
12a872699
136825480
14436dba5
152c21790
hex1e84855

32000085 has 48 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 14919552.

The previous prime is 32000083. The next prime is 32000093. The reversal of 32000085 is 58000023.

It is not a de Polignac number, because 32000085 - 21 = 32000083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32000083) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9676 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 232000085 is an apocalyptic number.

It is an amenable number.

32000085 is a deficient number, since it is larger than the sum of its proper divisors (30899115).

32000085 is a wasteful number, since it uses less digits than its factorization.

32000085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 32000085 is about 5656.8617624969. The cubic root of 32000085 is about 317.4804914957.

The spelling of 32000085 in words is "thirty-two million, eighty-five", and thus it is an aban number and an uban number.

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 247 285 585 741 855 1235 2223 2879 3705 8637 11115 14395 25911 37427 43185 54701 112281 129555 164103 187135 273505 336843 492309 561405 711113 820515 1684215 2133339 2461545 3555565 6400017 10666695 32000085