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85170361 = 2931211449
BaseRepresentation
bin1010001001110…
…01100010111001
312221021002202211
411010321202321
5133300422421
612241255121
72052636043
oct504714271
9187232684
1085170361
1144092831
12246344a1
1314850883
14b450a93
1577259e1
hex51398b9

85170361 has 16 divisors (see below), whose sum is σ = 91584000. Its totient is φ = 79027200.

The previous prime is 85170353. The next prime is 85170373. The reversal of 85170361 is 16307158.

85170361 = T169 + T170 + ... + T801.

It is a cyclic number.

It is not a de Polignac number, because 85170361 - 23 = 85170353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85170061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 189465 + ... + 189913.

It is an arithmetic number, because the mean of its divisors is an integer number (5724000).

Almost surely, 285170361 is an apocalyptic number.

It is an amenable number.

85170361 is a deficient number, since it is larger than the sum of its proper divisors (6413639).

85170361 is a wasteful number, since it uses less digits than its factorization.

85170361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 85170361 is about 9228.7789549864. The cubic root of 85170361 is about 439.9765156199.

The spelling of 85170361 in words is "eighty-five million, one hundred seventy thousand, three hundred sixty-one".

Divisors: 1 29 31 211 449 899 6119 6541 13021 13919 94739 189689 403651 2747431 2936909 85170361