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85131136 = 271315077
BaseRepresentation
bin1010001001011…
…11111110000000
312221012002222001
411010233332000
5133243144021
612240353344
72052413506
oct504577600
9187162861
1085131136
1144066312
1224615854
1314838a6c
14b440676
157719091
hex512ff80

85131136 has 32 divisors (see below), whose sum is σ = 170925480. Its totient is φ = 42232320.

The previous prime is 85131133. The next prime is 85131139. The reversal of 85131136 is 63113158.

It is an interprime number because it is at equal distance from previous prime (85131133) and next prime (85131139).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85131133) 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 3 ways as a sum of consecutive naturals, for example, 14230 + ... + 19306.

Almost surely, 285131136 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 85131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85462740).

85131136 is an abundant number, since it is smaller than the sum of its proper divisors (85794344).

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

85131136 is a wasteful number, since it uses less digits than its factorization.

85131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222 (or 5210 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 85131136 is about 9226.6535645379. The cubic root of 85131136 is about 439.9089618813.

The spelling of 85131136 in words is "eighty-five million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 4192 5077 8384 10154 16768 20308 40616 81232 162464 324928 649856 665087 1330174 2660348 5320696 10641392 21282784 42565568 85131136