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1024642530 = 232517669701
BaseRepresentation
bin111101000100101…
…100110111100010
32122102001020022100
4331010230313202
54044302030110
6245401351230
734251214002
oct7504546742
92572036270
101024642530
1148642510a
12247198516
13134387772
149a124002
155ee4cbc0
hex3d12cde2

1024642530 has 48 divisors (see below), whose sum is σ = 2820784824. Its totient is φ = 257164800.

The previous prime is 1024642519. The next prime is 1024642537. The reversal of 1024642530 is 352464201.

1024642530 is a `hidden beast` number, since 10 + 2 + 4 + 642 + 5 + 3 + 0 = 666.

1024642530 is digitally balanced in base 6, 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 4 ways, for example, as 1024448049 + 194481 = 32007^2 + 441^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1024642494 and 1024642503.

It is not an unprimeable number, because it can be changed into a prime (1024642537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333321 + ... + 336380.

Almost surely, 21024642530 is an apocalyptic number.

1024642530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1024642530 is an abundant number, since it is smaller than the sum of its proper divisors (1796142294).

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

1024642530 is a wasteful number, since it uses less digits than its factorization.

1024642530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669731 (or 669728 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1024642530 is about 32010.0379568660. The cubic root of 1024642530 is about 1008.1476127833.

The spelling of 1024642530 in words is "one billion, twenty-four million, six hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 669701 1339402 2009103 3348505 4018206 6027309 6697010 10045515 11384917 12054618 20091030 22769834 30136545 34154751 56924585 60273090 68309502 102464253 113849170 170773755 204928506 341547510 512321265 1024642530