Search a number
-
+
85106520 = 23325236407
BaseRepresentation
bin1010001001010…
…01111101011000
312221010212012100
411010221331120
5133241402040
612240043400
72052251652
oct504517530
9187125170
1085106520
1144049874
1224603560
131482a7b5
14b4356d2
157711b30
hex5129f58

85106520 has 48 divisors (see below), whose sum is σ = 276597360. Its totient is φ = 22694976.

The previous prime is 85106513. The next prime is 85106533. The reversal of 85106520 is 2560158.

85106520 is a `hidden beast` number, since 8 + 5 + 1 + 0 + 652 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 117844 + ... + 118563.

It is an arithmetic number, because the mean of its divisors is an integer number (5762445).

Almost surely, 285106520 is an apocalyptic number.

It is an amenable number.

85106520 is an abundant number, since it is smaller than the sum of its proper divisors (191490840).

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

85106520 is a wasteful number, since it uses less digits than its factorization.

85106520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236424 (or 236417 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 85106520 is about 9225.3195066621. The cubic root of 85106520 is about 439.8665573299.

Adding to 85106520 its reverse (2560158), we get a palindrome (87666678).

The spelling of 85106520 in words is "eighty-five million, one hundred six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 236407 472814 709221 945628 1182035 1418442 1891256 2127663 2364070 2836884 3546105 4255326 4728140 5673768 7092210 8510652 9456280 10638315 14184420 17021304 21276630 28368840 42553260 85106520