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2004103040 = 27514992089
BaseRepresentation
bin111011101110100…
…0010111110000000
312011200001222112112
41313131002332000
513101022244130
6530510514452
7100443411002
oct16735027600
95150058475
102004103040
1193929a305
1247b205a28
1325c282ab4
14150246372
15bae23495
hex77742f80

2004103040 has 64 divisors (see below), whose sum is σ = 4796550000. Its totient is φ = 800722944.

The previous prime is 2004103027. The next prime is 2004103067. The reversal of 2004103040 is 403014002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 958316 + ... + 960404.

Almost surely, 22004103040 is an apocalyptic number.

2004103040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398275000).

2004103040 is an abundant number, since it is smaller than the sum of its proper divisors (2792446960).

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

2004103040 is a wasteful number, since it uses less digits than its factorization.

2004103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2004103040 is about 44767.2094283305. The cubic root of 2004103040 is about 1260.7820457903.

Adding to 2004103040 its reverse (403014002), we get a palindrome (2407117042).

The spelling of 2004103040 in words is "two billion, four million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1499 2089 2998 4178 5996 7495 8356 10445 11992 14990 16712 20890 23984 29980 33424 41780 47968 59960 66848 83560 95936 119920 133696 167120 191872 239840 267392 334240 479680 668480 959360 1336960 3131411 6262822 12525644 15657055 25051288 31314110 50102576 62628220 100205152 125256440 200410304 250512880 400820608 501025760 1002051520 2004103040