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1056542112 = 253217215797
BaseRepresentation
bin111110111110011…
…000110110100000
32201122001220022100
4332332120312200
54130433321422
6252501210400
735116313463
oct7676306640
92648056270
101056542112
114a24327aa
12255a00a00
1313ab76262
14a04692da
1562b4e7ac
hex3ef98da0

1056542112 has 72 divisors (see below), whose sum is σ = 3181294116. Its totient is φ = 331462656.

The previous prime is 1056542041. The next prime is 1056542119. The reversal of 1056542112 is 2112456501.

1056542112 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 542 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1005904656 + 50637456 = 31716^2 + 7116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10565421122 = 2232562468858841088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056542119) 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 11 ways as a sum of consecutive naturals, for example, 103003 + ... + 112794.

Almost surely, 21056542112 is an apocalyptic number.

1056542112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1056542112 is an abundant number, since it is smaller than the sum of its proper divisors (2124752004).

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

1056542112 is a wasteful number, since it uses less digits than its factorization.

1056542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215830 (or 215819 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1056542112 is about 32504.4937200997. The cubic root of 1056542112 is about 1018.5029017582.

Adding to 1056542112 its reverse (2112456501), we get a palindrome (3168998613).

The spelling of 1056542112 in words is "one billion, fifty-six million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 215797 431594 647391 863188 1294782 1726376 1942173 2589564 3452752 3668549 3884346 5179128 6905504 7337098 7768692 10358256 11005647 14674196 15537384 20716512 22011294 29348392 31074768 33016941 44022588 58696784 62149536 66033882 88045176 117393568 132067764 176090352 264135528 352180704 528271056 1056542112