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1024169680 = 24512802121
BaseRepresentation
bin111101000010111…
…001011011010000
32122101011012200101
4331002321123100
54044141412210
6245343302144
734244204302
oct7502713320
92571135611
101024169680
11486131926
12246baa954
13134250481
149a03d972
155eda7a3a
hex3d0b96d0

1024169680 has 20 divisors (see below), whose sum is σ = 2381194692. Its totient is φ = 409667840.

The previous prime is 1024169669. The next prime is 1024169701. The reversal of 1024169680 is 869614201.

It is a happy number.

1024169680 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 2 ways, for example, as 234334864 + 789834816 = 15308^2 + 28104^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6400981 + ... + 6401140.

Almost surely, 21024169680 is an apocalyptic number.

1024169680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024169680 is an abundant number, since it is smaller than the sum of its proper divisors (1357025012).

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

1024169680 is a wasteful number, since it uses less digits than its factorization.

1024169680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802134 (or 12802128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 1024169680 is about 32002.6511401790. The cubic root of 1024169680 is about 1007.9925096025.

The spelling of 1024169680 in words is "one billion, twenty-four million, one hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12802121 25604242 51208484 64010605 102416968 128021210 204833936 256042420 512084840 1024169680