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1056105030 = 235235328879
BaseRepresentation
bin111110111100101…
…110001001000110
32201121020200202010
4332330232021012
54130330330110
6252443555050
735112513261
oct7674561106
92647220663
101056105030
114a2164382
1225582ba86
1313aa52326
14a0393cd8
1562ab5020
hex3ef2e246

1056105030 has 64 divisors (see below), whose sum is σ = 2694850560. Its totient is φ = 264291456.

The previous prime is 1056105013. The next prime is 1056105067. The reversal of 1056105030 is 305016501.

It is a happy number.

It is a super-2 number, since 2×10561050302 = 2230715668782601800, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1056104988 and 1056105006.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22131 + ... + 51009.

It is an arithmetic number, because the mean of its divisors is an integer number (42107040).

Almost surely, 21056105030 is an apocalyptic number.

1056105030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056105030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347425280).

1056105030 is an abundant number, since it is smaller than the sum of its proper divisors (1638745530).

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

1056105030 is a wasteful number, since it uses less digits than its factorization.

1056105030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28965.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1056105030 is about 32497.7696157752. The cubic root of 1056105030 is about 1018.3624338798.

The spelling of 1056105030 in words is "one billion, fifty-six million, one hundred five thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 53 69 106 115 138 159 230 265 318 345 530 690 795 1219 1590 2438 3657 6095 7314 12190 18285 28879 36570 57758 86637 144395 173274 288790 433185 664217 866370 1328434 1530587 1992651 3061174 3321085 3985302 4591761 6642170 7652935 9183522 9963255 15305870 19926510 22958805 35203501 45917610 70407002 105610503 176017505 211221006 352035010 528052515 1056105030