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85880141 = 1717329201
BaseRepresentation
bin1010001111001…
…10110101001101
312222121011101222
411013212311031
5133441131031
612304413125
72061653264
oct507466515
9188534358
1085880141
1144528026
12249171a5
1314a3b969
14b5975db
157815e7b
hex51e6d4d

85880141 has 8 divisors (see below), whose sum is σ = 91460664. Its totient is φ = 80358400.

The previous prime is 85880129. The next prime is 85880143. The reversal of 85880141 is 14108858.

It can be written as a sum of positive squares in 4 ways, for example, as 34456900 + 51423241 = 5870^2 + 7171^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85880141 - 210 = 85879117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85880143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11660 + ... + 17541.

It is an arithmetic number, because the mean of its divisors is an integer number (11432583).

Almost surely, 285880141 is an apocalyptic number.

It is an amenable number.

85880141 is a deficient number, since it is larger than the sum of its proper divisors (5580523).

85880141 is a wasteful number, since it uses less digits than its factorization.

85880141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29391.

The product of its (nonzero) digits is 10240, while the sum is 35.

The square root of 85880141 is about 9267.1538780793. The cubic root of 85880141 is about 441.1953395792.

Adding to 85880141 its reverse (14108858), we get a palindrome (99988999).

The spelling of 85880141 in words is "eighty-five million, eight hundred eighty thousand, one hundred forty-one".

Divisors: 1 17 173 2941 29201 496417 5051773 85880141