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1024320025 = 523721732
BaseRepresentation
bin111101000011011…
…110001000011001
32122101102211220201
4331003132020121
54044211220100
6245350422201
734245401521
oct7503361031
92571384821
101024320025
11486224883
12247061961
131342a3a31
149a07c681
155edd736a
hex3d0de219

1024320025 has 27 divisors (see below), whose sum is σ = 1313002551. Its totient is φ = 792699840.

The previous prime is 1024319987. The next prime is 1024320041. The reversal of 1024320025 is 5200234201.

The square root of 1024320025 is 32005.

It is a perfect power (a square), and thus also a powerful number.

1024320025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 64009 + 1024256016 = 253^2 + 32004^2 .

It is not a de Polignac number, because 1024320025 - 211 = 1024317977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1024319984 and 1024320011.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5920839 + ... + 5921011.

Almost surely, 21024320025 is an apocalyptic number.

1024320025 is the 32005-th square number.

1024320025 is the 16003-rd centered octagonal number.

It is an amenable number.

1024320025 is a deficient number, since it is larger than the sum of its proper divisors (288682526).

1024320025 is an frugal number, since it uses more digits than its factorization.

1024320025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The cubic root of 1024320025 is about 1008.0418306027.

Adding to 1024320025 its reverse (5200234201), we get a palindrome (6224554226).

The spelling of 1024320025 in words is "one billion, twenty-four million, three hundred twenty thousand, twenty-five".

Divisors: 1 5 25 37 173 185 865 925 1369 4325 6401 6845 29929 32005 34225 149645 160025 236837 748225 1107373 1184185 5536865 5920925 27684325 40972801 204864005 1024320025