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85130430 = 235711137269
BaseRepresentation
bin1010001001011…
…11110010111110
312221012001222220
411010233302332
5133243133210
612240350210
72052411450
oct504576276
9187161886
1085130430
1144065830
1224615366
1314838648
14b4402d0
157718c70
hex512fcbe

85130430 has 128 divisors (see below), whose sum is σ = 257541120. Its totient is φ = 17495040.

The previous prime is 85130389. The next prime is 85130443. The reversal of 85130430 is 3403158.

It is a super-2 number, since 2×851304302 = 14494380223969800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85130430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316336 + ... + 316604.

It is an arithmetic number, because the mean of its divisors is an integer number (2012040).

Almost surely, 285130430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85130430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128770560).

85130430 is an abundant number, since it is smaller than the sum of its proper divisors (172410690).

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

85130430 is a wasteful number, since it uses less digits than its factorization.

85130430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 85130430 is about 9226.6153057337. The cubic root of 85130430 is about 439.9077458101.

Adding to 85130430 its reverse (3403158), we get a palindrome (88533588).

The spelling of 85130430 in words is "eighty-five million, one hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 137 154 165 210 231 269 274 330 385 411 462 538 685 770 807 822 959 1155 1345 1370 1507 1614 1883 1918 2055 2310 2690 2877 2959 3014 3766 4035 4110 4521 4795 5649 5754 5918 7535 8070 8877 9042 9415 9590 10549 11298 14385 14795 15070 17754 18830 20713 21098 22605 28245 28770 29590 31647 36853 41426 44385 45210 52745 56490 62139 63294 73706 88770 103565 105490 110559 124278 158235 184265 207130 221118 257971 310695 316470 368530 405383 515942 552795 621390 773913 810766 1105590 1216149 1289855 1547826 2026915 2432298 2579710 2837681 3869565 4053830 5675362 6080745 7739130 8513043 12161490 14188405 17026086 28376810 42565215 85130430