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2004210520 = 235133854251
BaseRepresentation
bin111011101110101…
…1101001101011000
312011200021102222021
41313131131031120
513101034214040
6530513104224
7100444336234
oct16735351530
95150242867
102004210520
11939363034
1247b258074
1325c2bc9b0
141502735c4
15bae4524a
hex7775d358

2004210520 has 32 divisors (see below), whose sum is σ = 4856357520. Its totient is φ = 740016000.

The previous prime is 2004210479. The next prime is 2004210541. The reversal of 2004210520 is 250124002.

2004210520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2004210494 and 2004210503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1926606 + ... + 1927645.

Almost surely, 22004210520 is an apocalyptic number.

2004210520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004210520 is an abundant number, since it is smaller than the sum of its proper divisors (2852147000).

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

2004210520 is a wasteful number, since it uses less digits than its factorization.

2004210520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854275 (or 3854271 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2004210520 is about 44768.4098444428. The cubic root of 2004210520 is about 1260.8045839582.

Adding to 2004210520 its reverse (250124002), we get a palindrome (2254334522).

The spelling of 2004210520 in words is "two billion, four million, two hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 3854251 7708502 15417004 19271255 30834008 38542510 50105263 77085020 100210526 154170040 200421052 250526315 400842104 501052630 1002105260 2004210520