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4113000240 = 243517137501
BaseRepresentation
bin1111010100100111…
…0110011100110000
3101121122100001122020
43311021312130300
531410412001430
61520043511440
7203631632226
oct36511663460
911548301566
104113000240
111820754a58
12969528580
1350716756b
142b036ab16
15191146b10
hexf5276730

4113000240 has 40 divisors (see below), whose sum is σ = 12750301488. Its totient is φ = 1096800000.

The previous prime is 4113000209. The next prime is 4113000263. The reversal of 4113000240 is 420003114.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8568511 + ... + 8568990.

Almost surely, 24113000240 is an apocalyptic number.

4113000240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113000240 is an abundant number, since it is smaller than the sum of its proper divisors (8637301248).

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

4113000240 is a wasteful number, since it uses less digits than its factorization.

4113000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17137517 (or 17137511 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4113000240 is about 64132.6768504169. The cubic root of 4113000240 is about 1602.2105175179.

Adding to 4113000240 its reverse (420003114), we get a palindrome (4533003354).

The spelling of 4113000240 in words is "four billion, one hundred thirteen million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17137501 34275002 51412503 68550004 85687505 102825006 137100008 171375010 205650012 257062515 274200016 342750020 411300024 514125030 685500040 822600048 1028250060 1371000080 2056500120 4113000240