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1057011728 = 24263251191
BaseRepresentation
bin111111000000001…
…011100000010000
32201122221202111112
4333000023200100
54131043333403
6252515232452
735123310563
oct7700134020
92648852445
101057011728
114a2723613
12255ba8728
1313acabc36
14a054c4da
1562be39d8
hex3f00b810

1057011728 has 20 divisors (see below), whose sum is σ = 2055755328. Its totient is φ = 526494240.

The previous prime is 1057011689. The next prime is 1057011773. The reversal of 1057011728 is 8271107501.

It is a super-2 number, since 2×10570117282 = 2234547586259091968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1057011694 and 1057011703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121388 + ... + 129803.

Almost surely, 21057011728 is an apocalyptic number.

It is an amenable number.

1057011728 is a deficient number, since it is larger than the sum of its proper divisors (998743600).

1057011728 is a wasteful number, since it uses less digits than its factorization.

1057011728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251462 (or 251456 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 32.

The square root of 1057011728 is about 32511.7167802625. The cubic root of 1057011728 is about 1018.6537821331.

The spelling of 1057011728 in words is "one billion, fifty-seven million, eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 263 526 1052 2104 4208 251191 502382 1004764 2009528 4019056 66063233 132126466 264252932 528505864 1057011728