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85870760 = 2358924121
BaseRepresentation
bin1010001111001…
…00100010101000
312222120200112112
411013210202220
5133440331020
612304301452
72061614033
oct507444250
9188520475
1085870760
1144520a78
1224911888
1314a37601
14b59401a
1578132c5
hex51e48a8

85870760 has 32 divisors (see below), whose sum is σ = 195388200. Its totient is φ = 33960960.

The previous prime is 85870727. The next prime is 85870787. The reversal of 85870760 is 6707858.

It can be written as a sum of positive squares in 4 ways, for example, as 46758244 + 39112516 = 6838^2 + 6254^2 .

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 7 ways as a sum of consecutive naturals, for example, 8501 + ... + 15620.

Almost surely, 285870760 is an apocalyptic number.

It is an amenable number.

85870760 is an abundant number, since it is smaller than the sum of its proper divisors (109517440).

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

85870760 is a wasteful number, since it uses less digits than its factorization.

85870760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24221 (or 24217 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 85870760 is about 9266.6477218032. The cubic root of 85870760 is about 441.1792745373.

The spelling of 85870760 in words is "eighty-five million, eight hundred seventy thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 24121 48242 96484 120605 192968 241210 482420 964840 2146769 4293538 8587076 10733845 17174152 21467690 42935380 85870760