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85753134 = 23317109857
BaseRepresentation
bin1010001110001…
…11110100101110
312222100201012000
411013013310232
5133423100014
612301553130
72060614065
oct507076456
9188321160
1085753134
1144450665
12248757a6
13149c5bcc
14b5631dc
1577dd509
hex51c7d2e

85753134 has 64 divisors (see below), whose sum is σ = 203860800. Its totient is φ = 26625024.

The previous prime is 85753127. The next prime is 85753147. The reversal of 85753134 is 43135758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99634 + ... + 100490.

It is an arithmetic number, because the mean of its divisors is an integer number (3185325).

Almost surely, 285753134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85753134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101930400).

85753134 is an abundant number, since it is smaller than the sum of its proper divisors (118107666).

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

85753134 is a wasteful number, since it uses less digits than its factorization.

85753134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 85753134 is about 9260.2988072740. The cubic root of 85753134 is about 440.9777396325.

The spelling of 85753134 in words is "eighty-five million, seven hundred fifty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 109 153 218 306 327 459 654 857 918 981 1714 1853 1962 2571 2943 3706 5142 5559 5886 7713 11118 14569 15426 16677 23139 29138 33354 43707 46278 50031 87414 93413 100062 131121 186826 262242 280239 393363 560478 786726 840717 1588021 1681434 2522151 3176042 4764063 5044302 9528126 14292189 28584378 42876567 85753134