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1057993060 = 22552899653
BaseRepresentation
bin111111000011111…
…011000101100100
32201201210121122011
4333003323011210
54131321234220
6252552244004
735134535605
oct7703730544
92651717564
101057993060
114a3233933
122563a0604
1313b2637c7
14a0725dac
1562d3965a
hex3f0fb164

1057993060 has 12 divisors (see below), whose sum is σ = 2221785468. Its totient is φ = 423197216.

The previous prime is 1057993039. The next prime is 1057993063. The reversal of 1057993060 is 603997501.

It can be written as a sum of positive squares in 2 ways, for example, as 699496704 + 358496356 = 26448^2 + 18934^2 .

It is a super-2 number, since 2×10579930602 = 2238698630016327200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057993063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26449807 + ... + 26449846.

It is an arithmetic number, because the mean of its divisors is an integer number (185148789).

Almost surely, 21057993060 is an apocalyptic number.

1057993060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057993060 is an abundant number, since it is smaller than the sum of its proper divisors (1163792408).

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

1057993060 is a wasteful number, since it uses less digits than its factorization.

1057993060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52899662 (or 52899660 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 40.

The square root of 1057993060 is about 32526.8052535136. The cubic root of 1057993060 is about 1018.9689247599.

The spelling of 1057993060 in words is "one billion, fifty-seven million, nine hundred ninety-three thousand, sixty".

Divisors: 1 2 4 5 10 20 52899653 105799306 211598612 264498265 528996530 1057993060