Search a number
-
+
85100760 = 2333578797
BaseRepresentation
bin1010001001010…
…00100011011000
312221010120022000
411010220203120
5133241211020
612240001000
72052226113
oct504504330
9187116260
1085100760
1144045508
1224600160
1314827ca4
14b43357a
157710090
hex51288d8

85100760 has 64 divisors (see below), whose sum is σ = 283672800. Its totient is φ = 22693248.

The previous prime is 85100749. The next prime is 85100767. The reversal of 85100760 is 6700158.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85100767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38319 + ... + 40478.

Almost surely, 285100760 is an apocalyptic number.

It is an amenable number.

85100760 is an abundant number, since it is smaller than the sum of its proper divisors (198572040).

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

85100760 is a wasteful number, since it uses less digits than its factorization.

85100760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78817 (or 78807 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 85100760 is about 9225.0073170703. The cubic root of 85100760 is about 439.8566337325.

The spelling of 85100760 in words is "eighty-five million, one hundred thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 78797 157594 236391 315188 393985 472782 630376 709173 787970 945564 1181955 1418346 1575940 1891128 2127519 2363910 2836692 3151880 3545865 4255038 4727820 5673384 7091730 8510076 9455640 10637595 14183460 17020152 21275190 28366920 42550380 85100760