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85670600 = 2352428353
BaseRepresentation
bin1010001101100…
…11101011001000
312222012111222012
411012303223020
5133412424400
612300115052
72060121341
oct506635310
9188174865
1085670600
11443a4654
1224835a88
1314997482
14b5410c8
1577c3d35
hex51b3ac8

85670600 has 24 divisors (see below), whose sum is σ = 199184610. Its totient is φ = 34268160.

The previous prime is 85670573. The next prime is 85670617. The reversal of 85670600 is 607658.

It can be written as a sum of positive squares in 3 ways, for example, as 81252196 + 4418404 = 9014^2 + 2102^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 213977 + ... + 214376.

Almost surely, 285670600 is an apocalyptic number.

It is an amenable number.

85670600 is an abundant number, since it is smaller than the sum of its proper divisors (113514010).

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

85670600 is a wasteful number, since it uses less digits than its factorization.

85670600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428369 (or 428360 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 85670600 is about 9255.8413988140. The cubic root of 85670600 is about 440.8362196757.

The spelling of 85670600 in words is "eighty-five million, six hundred seventy thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 428353 856706 1713412 2141765 3426824 4283530 8567060 10708825 17134120 21417650 42835300 85670600