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85036820 = 22511834657
BaseRepresentation
bin1010001000110…
…00111100010100
312221000022120212
411010120330110
5133232134240
612234344552
72051541521
oct504307424
9187008525
1085036820
1144001470
122458b158
1314804b5b
14b418148
1576eb165
hex5118f14

85036820 has 48 divisors (see below), whose sum is σ = 197201088. Its totient is φ = 30543360.

The previous prime is 85036817. The next prime is 85036871. The reversal of 85036820 is 2863058.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15932 + ... + 20588.

It is an arithmetic number, because the mean of its divisors is an integer number (4108356).

Almost surely, 285036820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85036820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98600544).

85036820 is an abundant number, since it is smaller than the sum of its proper divisors (112164268).

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

85036820 is a wasteful number, since it uses less digits than its factorization.

85036820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 85036820 is about 9221.5410859574. The cubic root of 85036820 is about 439.7464448230.

Adding to 85036820 its reverse (2863058), we get a palindrome (87899878).

The spelling of 85036820 in words is "eighty-five million, thirty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 4657 9130 9314 18260 18628 23285 46570 51227 93140 102454 204908 256135 386531 512270 773062 1024540 1546124 1932655 3865310 4251841 7730620 8503682 17007364 21259205 42518410 85036820