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85543020 = 223351571009
BaseRepresentation
bin1010001100101…
…00100001101100
312221222000222000
411012110201230
5133344334040
612253252300
72056050363
oct506244154
9187860860
1085543020
1144317812
1224794090
1314951394
14b50a7da
15779b130
hex519486c

85543020 has 96 divisors (see below), whose sum is σ = 268094400. Its totient is φ = 22643712.

The previous prime is 85543019. The next prime is 85543021. The reversal of 85543020 is 2034558.

It is an interprime number because it is at equal distance from previous prime (85543019) and next prime (85543021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (85543021) 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 31 ways as a sum of consecutive naturals, for example, 84276 + ... + 85284.

It is an arithmetic number, because the mean of its divisors is an integer number (2792650).

Almost surely, 285543020 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 85543020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134047200).

85543020 is an abundant number, since it is smaller than the sum of its proper divisors (182551380).

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

85543020 is a wasteful number, since it uses less digits than its factorization.

85543020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 85543020 is about 9248.9469670877. The cubic root of 85543020 is about 440.6172809875.

Adding to 85543020 its reverse (2034558), we get a palindrome (87577578).

The spelling of 85543020 in words is "eighty-five million, five hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 785 942 1009 1413 1570 1884 2018 2355 2826 3027 3140 4036 4239 4710 5045 5652 6054 7065 8478 9081 9420 10090 12108 14130 15135 16956 18162 20180 21195 27243 28260 30270 36324 42390 45405 54486 60540 84780 90810 108972 136215 158413 181620 272430 316826 475239 544860 633652 792065 950478 1425717 1584130 1900956 2376195 2851434 3168260 4277151 4752390 5702868 7128585 8554302 9504780 14257170 17108604 21385755 28514340 42771510 85543020