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85381620 = 22357918013
BaseRepresentation
bin1010001011011…
…01000111110100
312221122211120020
411011231013310
5133324202440
612250005140
72054506002
oct505550764
9187584506
1085381620
1144217525
12247167b0
13148c5a8c
14b4a7a72
1577683d0
hex516d1f4

85381620 has 48 divisors (see below), whose sum is σ = 242108160. Its totient is φ = 22478976.

The previous prime is 85381609. The next prime is 85381643. The reversal of 85381620 is 2618358.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4267 + ... + 13746.

It is an arithmetic number, because the mean of its divisors is an integer number (5043920).

Almost surely, 285381620 is an apocalyptic number.

It is an amenable number.

85381620 is an abundant number, since it is smaller than the sum of its proper divisors (156726540).

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

85381620 is a wasteful number, since it uses less digits than its factorization.

85381620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18104 (or 18102 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 85381620 is about 9240.2175299070. The cubic root of 85381620 is about 440.3399920383.

Adding to 85381620 its reverse (2618358), we get a palindrome (87999978).

The spelling of 85381620 in words is "eighty-five million, three hundred eighty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 18013 36026 54039 72052 90065 108078 180130 216156 270195 360260 540390 1080780 1423027 2846054 4269081 5692108 7115135 8538162 14230270 17076324 21345405 28460540 42690810 85381620