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85105520 = 2452322011
BaseRepresentation
bin1010001001010…
…01101101110000
312221010210211022
411010221231300
5133241334040
612240035012
72052246023
oct504515560
9187123738
1085105520
1144049045
1224602a68
131482a1c6
14b4351ba
1577116b5
hex5129b70

85105520 has 60 divisors (see below), whose sum is σ = 206950296. Its totient is φ = 32545920.

The previous prime is 85105511. The next prime is 85105523. The reversal of 85105520 is 2550158.

It is a self number, because there is not a number n which added to its sum of digits gives 85105520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85105523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41315 + ... + 43325.

Almost surely, 285105520 is an apocalyptic number.

85105520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85105520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103475148).

85105520 is an abundant number, since it is smaller than the sum of its proper divisors (121844776).

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

85105520 is a wasteful number, since it uses less digits than its factorization.

85105520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 85105520 is about 9225.2653078380. The cubic root of 85105520 is about 439.8648345152.

Adding to 85105520 its reverse (2550158), we get a palindrome (87655678).

The spelling of 85105520 in words is "eighty-five million, one hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 529 920 1058 1840 2011 2116 2645 4022 4232 5290 8044 8464 10055 10580 16088 20110 21160 32176 40220 42320 46253 80440 92506 160880 185012 231265 370024 462530 740048 925060 1063819 1850120 2127638 3700240 4255276 5319095 8510552 10638190 17021104 21276380 42552760 85105520