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1020634664 = 23726836793
BaseRepresentation
bin111100110101011…
…010011000101000
32122010111121112212
4330311122120220
54042240302124
6245135424252
734202152160
oct7465323050
92563447485
101020634664
11484137a25
12245985088
131335b344a
149979d5a0
155e90a40e
hex3cd5a628

1020634664 has 32 divisors (see below), whose sum is σ = 2188211520. Its totient is φ = 437187456.

The previous prime is 1020634663. The next prime is 1020634697. The reversal of 1020634664 is 4664360201.

1020634664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1020634664.

It is not an unprimeable number, because it can be changed into a prime (1020634663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146852 + ... + 153644.

It is an arithmetic number, because the mean of its divisors is an integer number (68381610).

Almost surely, 21020634664 is an apocalyptic number.

1020634664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1020634664 is an abundant number, since it is smaller than the sum of its proper divisors (1167576856).

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

1020634664 is a wasteful number, since it uses less digits than its factorization.

1020634664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 1020634664 is about 31947.3733505589. The cubic root of 1020634664 is about 1006.8314464019.

Adding to 1020634664 its reverse (4664360201), we get a palindrome (5684994865).

The spelling of 1020634664 in words is "one billion, twenty million, six hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 2683 5366 6793 10732 13586 18781 21464 27172 37562 47551 54344 75124 95102 150248 190204 380408 18225619 36451238 72902476 127579333 145804952 255158666 510317332 1020634664