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85324060 = 225191511487
BaseRepresentation
bin1010001010111…
…11000100011100
312221112220121101
411011133010130
5133320332220
612244442444
72054146123
oct505370434
9187486541
1085324060
1144188258
12246a9424
13148a5813
14b490aba
15775630a
hex515f11c

85324060 has 48 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 32097600.

The previous prime is 85324051. The next prime is 85324069. The reversal of 85324060 is 6042358.

It is an interprime number because it is at equal distance from previous prime (85324051) and next prime (85324069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85324069) 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, 56637 + ... + 58123.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 285324060 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 85324060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

85324060 is an abundant number, since it is smaller than the sum of its proper divisors (104663780).

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

85324060 is a wasteful number, since it uses less digits than its factorization.

85324060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 85324060 is about 9237.1023595065. The cubic root of 85324060 is about 440.2410180915.

The spelling of 85324060 in words is "eighty-five million, three hundred twenty-four thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 151 190 302 380 604 755 1487 1510 2869 2974 3020 5738 5948 7435 11476 14345 14870 28253 28690 29740 56506 57380 113012 141265 224537 282530 449074 565060 898148 1122685 2245370 4266203 4490740 8532406 17064812 21331015 42662030 85324060