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85235130 = 232553107167
BaseRepresentation
bin1010001010010…
…01010110111010
312221101101121200
411011021112322
5133310011010
612242515030
72053325631
oct505112672
9187341550
1085235130
1144127462
1224665a76
13148741b6
14b46a518
157739cc0
hex51495ba

85235130 has 96 divisors (see below), whose sum is σ = 229267584. Its totient is φ = 21959808.

The previous prime is 85235123. The next prime is 85235131. The reversal of 85235130 is 3153258.

85235130 is a `hidden beast` number, since 8 + 523 + 5 + 130 = 666.

It is a super-2 number, since 2×852351302 = 14530054772233800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85235094 and 85235103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85235131) 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 47 ways as a sum of consecutive naturals, for example, 510307 + ... + 510473.

It is an arithmetic number, because the mean of its divisors is an integer number (2388204).

Almost surely, 285235130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85235130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114633792).

85235130 is an abundant number, since it is smaller than the sum of its proper divisors (144032454).

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

85235130 is a wasteful number, since it uses less digits than its factorization.

85235130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85235130 is about 9232.2873655449. The cubic root of 85235130 is about 440.0880161389.

Adding to 85235130 its reverse (3153258), we get a palindrome (88388388).

The spelling of 85235130 in words is "eighty-five million, two hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 107 159 167 214 265 318 321 334 477 501 530 535 642 795 835 954 963 1002 1070 1503 1590 1605 1670 1926 2385 2505 3006 3210 4770 4815 5010 5671 7515 8851 9630 11342 15030 17013 17702 17869 26553 28355 34026 35738 44255 51039 53106 53607 56710 79659 85065 88510 89345 102078 107214 132765 159318 160821 170130 178690 255195 265530 268035 321642 398295 510390 536070 796590 804105 947057 1608210 1894114 2841171 4735285 5682342 8523513 9470570 14205855 17047026 28411710 42617565 85235130