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1020640010 = 25132738273
BaseRepresentation
bin111100110101011…
…011101100001010
32122010111212212212
4330311123230022
54042240440020
6245135505122
734202203565
oct7465335412
92563455785
101020640010
11484140a45
122459881a2
131335b5a00
14997a14dc
155e90bcc5
hex3cd5bb0a

1020640010 has 48 divisors (see below), whose sum is σ = 2016837144. Its totient is φ = 371644416.

The previous prime is 1020639989. The next prime is 1020640013. The reversal of 1020640010 is 100460201.

It can be written as a sum of positive squares in 12 ways, for example, as 10608049 + 1010031961 = 3257^2 + 31781^2 .

It is not an unprimeable number, because it can be changed into a prime (1020640013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 119234 + ... + 127506.

Almost surely, 21020640010 is an apocalyptic number.

1020640010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020640010 is a deficient number, since it is larger than the sum of its proper divisors (996197134).

1020640010 is a wasteful number, since it uses less digits than its factorization.

1020640010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1020640010 is about 31947.4570192997. The cubic root of 1020640010 is about 1006.8332042988.

The spelling of 1020640010 in words is "one billion, twenty million, six hundred forty thousand, ten".

Divisors: 1 2 5 10 13 26 65 73 130 146 169 338 365 730 845 949 1690 1898 4745 8273 9490 12337 16546 24674 41365 61685 82730 107549 123370 215098 537745 603929 1075490 1207858 1398137 2796274 3019645 6039290 6990685 7851077 13981370 15702154 39255385 78510770 102064001 204128002 510320005 1020640010