Search a number
-
+
85275360 = 2532559219
BaseRepresentation
bin1010001010100…
…11001011100000
312221110102210200
411011103023200
5133312302420
612243425200
72053554132
oct505231340
9187412720
1085275360
1144154705
1224685200
13148895c1
14b47b052
157746b90
hex51532e0

85275360 has 72 divisors (see below), whose sum is σ = 291007080. Its totient is φ = 22739712.

The previous prime is 85275317. The next prime is 85275361. The reversal of 85275360 is 6357258.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85275361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28170 + ... + 31049.

It is an arithmetic number, because the mean of its divisors is an integer number (4041765).

Almost surely, 285275360 is an apocalyptic number.

85275360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85275360 is an abundant number, since it is smaller than the sum of its proper divisors (205731720).

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

85275360 is a wasteful number, since it uses less digits than its factorization.

85275360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59240 (or 59229 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85275360 is about 9234.4658751874. The cubic root of 85275360 is about 440.1572440740.

The spelling of 85275360 in words is "eighty-five million, two hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 59219 118438 177657 236876 296095 355314 473752 532971 592190 710628 888285 947504 1065942 1184380 1421256 1776570 1895008 2131884 2368760 2664855 2842512 3553140 4263768 4737520 5329710 5685024 7106280 8527536 9475040 10659420 14212560 17055072 21318840 28425120 42637680 85275360