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2004120024 = 233591415339
BaseRepresentation
bin111011101110100…
…0111000111011000
312011200002211211120
41313131013013120
513101023320044
6530511125240
7100443511344
oct16735070730
95150084746
102004120024
11939301045
1247b213820
1325c28a74a
1415024c624
15bae28519
hex777471d8

2004120024 has 32 divisors (see below), whose sum is σ = 5095224000. Its totient is φ = 656716832.

The previous prime is 2004120017. The next prime is 2004120029. The reversal of 2004120024 is 4200214002.

It is a junction number, because it is equal to n+sod(n) for n = 2004119985 and 2004120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004120029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706254 + ... + 709085.

It is an arithmetic number, because the mean of its divisors is an integer number (159225750).

Almost surely, 22004120024 is an apocalyptic number.

2004120024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004120024 is an abundant number, since it is smaller than the sum of its proper divisors (3091103976).

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

2004120024 is a wasteful number, since it uses less digits than its factorization.

2004120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415407 (or 1415403 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2004120024 is about 44767.3991203420. The cubic root of 2004120024 is about 1260.7856073274.

Adding to 2004120024 its reverse (4200214002), we get a palindrome (6204334026).

The spelling of 2004120024 in words is "two billion, four million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 1415339 2830678 4246017 5661356 8492034 11322712 16984068 33968136 83505001 167010002 250515003 334020004 501030006 668040008 1002060012 2004120024