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2104015625 = 5617892
BaseRepresentation
bin111110101101000…
…1011101100001001
312102122002001211122
41331122023230021
513302112000000
6544440205025
7103065560225
oct17532135411
95378061748
102104015625
1198a731098
124a8769775
13276b9587a
1415d613785
15c4aac085
hex7d68bb09

2104015625 has 42 divisors (see below), whose sum is σ = 2816331138. Its totient is φ = 1566400000.

The previous prime is 2104015607. The next prime is 2104015637. The reversal of 2104015625 is 5265104012.

It can be written as a sum of positive squares in 21 ways, for example, as 609497344 + 1494518281 = 24688^2 + 38659^2 .

It is not a de Polignac number, because 2104015625 - 212 = 2104011529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2104015594 and 2104015603.

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 41 ways as a sum of consecutive naturals, for example, 23640581 + ... + 23640669.

Almost surely, 22104015625 is an apocalyptic number.

2104015625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2104015625 is a deficient number, since it is larger than the sum of its proper divisors (712315513).

2104015625 is an frugal number, since it uses more digits than its factorization.

2104015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2104015625 is about 45869.5500849965. The cubic root of 2104015625 is about 1281.3948874422.

Adding to 2104015625 its reverse (5265104012), we get a palindrome (7369119637).

The spelling of 2104015625 in words is "two billion, one hundred four million, fifteen thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 89 125 425 445 625 1513 2125 2225 3125 7565 7921 10625 11125 15625 37825 39605 53125 55625 134657 189125 198025 265625 278125 673285 945625 990125 1390625 3366425 4728125 4950625 16832125 23640625 24753125 84160625 123765625 420803125 2104015625