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1057202568 = 233214683369
BaseRepresentation
bin111111000000111…
…010000110001000
32201200022110021200
4333000322012020
54131120440233
6252523304200
735125034142
oct7700720610
92650273250
101057202568
114a2843a34
1225607b060
1313b047a66
14a059bc92
1562c30313
hex3f03a188

1057202568 has 24 divisors (see below), whose sum is σ = 2863257150. Its totient is φ = 352400832.

The previous prime is 1057202563. The next prime is 1057202599. The reversal of 1057202568 is 8652027501.

It is a happy number.

1057202568 is a `hidden beast` number, since 1 + 0 + 572 + 0 + 25 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 632924964 + 424277604 = 25158^2 + 20598^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10572025682 = 2235354539571589248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1057202561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7341613 + ... + 7341756.

Almost surely, 21057202568 is an apocalyptic number.

1057202568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1057202568 is an abundant number, since it is smaller than the sum of its proper divisors (1806054582).

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

1057202568 is a wasteful number, since it uses less digits than its factorization.

1057202568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14683381 (or 14683374 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1057202568 is about 32514.6515897064. The cubic root of 1057202568 is about 1018.7150833103.

The spelling of 1057202568 in words is "one billion, fifty-seven million, two hundred two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14683369 29366738 44050107 58733476 88100214 117466952 132150321 176200428 264300642 352400856 528601284 1057202568