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1024025020 = 225417317107
BaseRepresentation
bin111101000010010…
…110000110111100
32122100212212020121
4331002112012330
54044122300040
6245340224324
734243032454
oct7502260674
92570785217
101024025020
11486043177
12246b3b0a4
131341cc685
149a002d64
155ed79c4a
hex3d0961bc

1024025020 has 48 divisors (see below), whose sum is σ = 2233209888. Its totient is φ = 394122240.

The previous prime is 1024024973. The next prime is 1024025059. The reversal of 1024025020 is 205204201.

1024025020 is digitally balanced in base 2, 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 = 1024024985 and 1024025003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51307 + ... + 68413.

It is an arithmetic number, because the mean of its divisors is an integer number (46525206).

Almost surely, 21024025020 is an apocalyptic number.

1024025020 is a gapful number since it is divisible by the number (10) 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 1024025020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116604944).

1024025020 is an abundant number, since it is smaller than the sum of its proper divisors (1209184868).

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

1024025020 is a wasteful number, since it uses less digits than its factorization.

1024025020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 17228 counting only the distinct ones).

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

The square root of 1024025020 is about 32000.3909351120. The cubic root of 1024025020 is about 1007.9450490221.

Adding to 1024025020 its reverse (205204201), we get a palindrome (1229229221).

The spelling of 1024025020 in words is "one billion, twenty-four million, twenty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 5986 11972 14965 17107 29930 34214 59860 68428 85535 171070 342140 701387 1248811 1402774 2497622 2805548 3506935 4995244 6244055 7013870 12488110 14027740 24976220 51201251 102402502 204805004 256006255 512012510 1024025020