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42594120 = 2333539439
BaseRepresentation
bin1010001001111…
…0111101001000
32222011000011000
42202132331020
541401002440
64120535000
71025021052
oct242367510
988130130
1042594120
1122052658
1212321460
138a9452a
14592a8d2
153b15730
hex289ef48

42594120 has 64 divisors (see below), whose sum is σ = 141984000. Its totient is φ = 11358144.

The previous prime is 42594109. The next prime is 42594133. The reversal of 42594120 is 2149524.

42594120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 18640 + ... + 20799.

It is an arithmetic number, because the mean of its divisors is an integer number (2218500).

Almost surely, 242594120 is an apocalyptic number.

42594120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42594120 is an abundant number, since it is smaller than the sum of its proper divisors (99389880).

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

42594120 is a wasteful number, since it uses less digits than its factorization.

42594120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39459 (or 39449 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42594120 is about 6526.4170874991. The cubic root of 42594120 is about 349.2340255694.

The spelling of 42594120 in words is "forty-two million, five hundred ninety-four thousand, one hundred twenty".

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 39439 78878 118317 157756 197195 236634 315512 354951 394390 473268 591585 709902 788780 946536 1064853 1183170 1419804 1577560 1774755 2129706 2366340 2839608 3549510 4259412 4732680 5324265 7099020 8518824 10648530 14198040 21297060 42594120