Search a number
-
+
85757040 = 24325119107
BaseRepresentation
bin1010001110010…
…00110001110000
312222100220112200
411013020301300
5133423211130
612302023200
72060631345
oct507106160
9188326480
1085757040
1144453596
1224877b00
13149c7915
14b5647cc
1577de760
hex51c8c70

85757040 has 60 divisors (see below), whose sum is σ = 288003144. Its totient is φ = 22868352.

The previous prime is 85757039. The next prime is 85757047. The reversal of 85757040 is 4075758.

85757040 is a `hidden beast` number, since 85 + 7 + 570 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 85756986 and 85757004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85757047) 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, 58834 + ... + 60273.

Almost surely, 285757040 is an apocalyptic number.

85757040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85757040 is an abundant number, since it is smaller than the sum of its proper divisors (202246104).

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

85757040 is a wasteful number, since it uses less digits than its factorization.

85757040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119126 (or 119117 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 85757040 is about 9260.5097051944. The cubic root of 85757040 is about 440.9844349482.

The spelling of 85757040 in words is "eighty-five million, seven hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 119107 238214 357321 476428 595535 714642 952856 1071963 1191070 1429284 1786605 1905712 2143926 2382140 2858568 3573210 4287852 4764280 5359815 5717136 7146420 8575704 9528560 10719630 14292840 17151408 21439260 28585680 42878520 85757040