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85236840 = 23335132467
BaseRepresentation
bin1010001010010…
…01110001101000
312221101110222000
411011021301220
5133310034330
612242531000
72053333623
oct505116150
9187343860
1085236840
1144128777
1224666a60
1314874c00
14b46adba
15773a560
hex5149c68

85236840 has 192 divisors, whose sum is σ = 308318400. Its totient is φ = 20936448.

The previous prime is 85236821. The next prime is 85236847. The reversal of 85236840 is 4863258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85236795 and 85236804.

It is not an unprimeable number, because it can be changed into a prime (85236847) 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 47 ways as a sum of consecutive naturals, for example, 182287 + ... + 182753.

It is an arithmetic number, because the mean of its divisors is an integer number (1605825).

Almost surely, 285236840 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 85236840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154159200).

85236840 is an abundant number, since it is smaller than the sum of its proper divisors (223081560).

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

85236840 is a wasteful number, since it uses less digits than its factorization.

85236840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85236840 is about 9232.3799748494. The cubic root of 85236840 is about 440.0909591566.

The spelling of 85236840 in words is "eighty-five million, two hundred thirty-six thousand, eight hundred forty".