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1059368144 = 242915112
BaseRepresentation
bin111111001001001…
…010110011010000
32201211101110220012
4333021022303100
54132144240034
6253041534052
735152323602
oct7711126320
92654343805
101059368144
114a3a92a6a
12256944328
1313b625673
14a09a3172
156300bcce
hex3f24acd0

1059368144 has 30 divisors (see below), whose sum is σ = 2124708690. Its totient is φ = 511080640.

The previous prime is 1059368143. The next prime is 1059368171. The reversal of 1059368144 is 4418639501.

1059368144 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 only one way, i.e., 913248400 + 146119744 = 30220^2 + 12088^2 .

It is a super-2 number, since 2×10593681442 = 2244521729044009472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059368143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 700349 + ... + 701859.

It is an arithmetic number, because the mean of its divisors is an integer number (70823623).

Almost surely, 21059368144 is an apocalyptic number.

It is an amenable number.

1059368144 is an abundant number, since it is smaller than the sum of its proper divisors (1065340546).

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

1059368144 is an frugal number, since it uses more digits than its factorization.

1059368144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 1059368144 is about 32547.9360943209. The cubic root of 1059368144 is about 1019.4101882926.

The spelling of 1059368144 in words is "one billion, fifty-nine million, three hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 1511 3022 6044 12088 24176 43819 87638 175276 350552 701104 2283121 4566242 9132484 18264968 36529936 66210509 132421018 264842036 529684072 1059368144