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1056010060 = 22572928969
BaseRepresentation
bin111110111100010…
…110111101001100
32201121001212110201
4332330112331030
54130314310220
6252441543244
735111636350
oct7674267514
92647055421
101056010060
114a20a9a96
122557a4b24
1313aa1b031
14a036b460
1562a96d0a
hex3ef16f4c

1056010060 has 72 divisors (see below), whose sum is σ = 2625124320. Its totient is φ = 349536768.

The previous prime is 1056010049. The next prime is 1056010061. The reversal of 1056010060 is 600106501.

It is a super-2 number, since 2×10560100602 = 2230314493642407200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056010061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113256 + ... + 122224.

It is an arithmetic number, because the mean of its divisors is an integer number (36460060).

Almost surely, 21056010060 is an apocalyptic number.

1056010060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056010060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312562160).

1056010060 is an abundant number, since it is smaller than the sum of its proper divisors (1569114260).

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

1056010060 is a wasteful number, since it uses less digits than its factorization.

1056010060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1056010060 is about 32496.3084057251. The cubic root of 1056010060 is about 1018.3319076295.

Adding to 1056010060 its reverse (600106501), we get a palindrome (1656116561).

The spelling of 1056010060 in words is "one billion, fifty-six million, ten thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 841 1015 1682 2030 3364 4060 4205 5887 8410 8969 11774 16820 17938 23548 29435 35876 44845 58870 62783 89690 117740 125566 179380 251132 260101 313915 520202 627830 1040404 1255660 1300505 1820707 2601010 3641414 5202020 7282828 7542929 9103535 15085858 18207070 30171716 36414140 37714645 52800503 75429290 105601006 150858580 211202012 264002515 528005030 1056010060