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2004131240 = 235109745673
BaseRepresentation
bin111011101110100…
…1001110110101000
312011200010102012222
41313131021312220
513101024144430
6530511253212
7100443556136
oct16735116650
95150112188
102004131240
11939309511
1247b21a208
1325c292897
14150252756
15bae2b9e5
hex77749da8

2004131240 has 32 divisors (see below), whose sum is σ = 4513504680. Its totient is φ = 800904192.

The previous prime is 2004131203. The next prime is 2004131257. The reversal of 2004131240 is 421314002.

It can be written as a sum of positive squares in 4 ways, for example, as 1818681316 + 185449924 = 42646^2 + 13618^2 .

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, 21044 + ... + 66716.

Almost surely, 22004131240 is an apocalyptic number.

2004131240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004131240 is an abundant number, since it is smaller than the sum of its proper divisors (2509373440).

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

2004131240 is a wasteful number, since it uses less digits than its factorization.

2004131240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46781 (or 46777 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2004131240 is about 44767.5243898967. The cubic root of 2004131240 is about 1260.7879593065.

Adding to 2004131240 its reverse (421314002), we get a palindrome (2425445242).

The spelling of 2004131240 in words is "two billion, four million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1097 2194 4388 5485 8776 10970 21940 43880 45673 91346 182692 228365 365384 456730 913460 1826920 50103281 100206562 200413124 250516405 400826248 501032810 1002065620 2004131240