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1052130510 = 2325172192129
BaseRepresentation
bin111110101101100…
…011110011001110
32201022202202201200
4332231203303032
54123321134020
6252222450330
735033650614
oct7655436316
92638682650
101052130510
1149a99a252
122544339a6
13139c90242
149da3b6b4
156257c590
hex3eb63cce

1052130510 has 144 divisors (see below), whose sum is σ = 3060298800. Its totient is φ = 250048512.

The previous prime is 1052130509. The next prime is 1052130511. The reversal of 1052130510 is 150312501.

1052130510 is a `hidden beast` number, since 105 + 21 + 30 + 510 = 666.

It is an interprime number because it is at equal distance from previous prime (1052130509) and next prime (1052130511).

It is a super-2 number, since 2×10521305102 = 2213957220145720200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052130511) 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 71 ways as a sum of consecutive naturals, for example, 493126 + ... + 495254.

It is an arithmetic number, because the mean of its divisors is an integer number (21252075).

Almost surely, 21052130510 is an apocalyptic number.

1052130510 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 1052130510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530149400).

1052130510 is an abundant number, since it is smaller than the sum of its proper divisors (2008168290).

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

1052130510 is a wasteful number, since it uses less digits than its factorization.

1052130510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1052130510 is about 32436.5613158978. The cubic root of 1052130510 is about 1017.0833344811.

The spelling of 1052130510 in words is "one billion, fifty-two million, one hundred thirty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 289 306 323 342 510 570 578 646 765 855 867 969 1445 1530 1615 1710 1734 1938 2129 2601 2890 2907 3230 4258 4335 4845 5202 5491 5814 6387 8670 9690 10645 10982 12774 13005 14535 16473 19161 21290 26010 27455 29070 31935 32946 36193 38322 40451 49419 54910 63870 72386 80902 82365 95805 98838 108579 121353 164730 180965 191610 202255 217158 242706 247095 325737 361930 364059 404510 494190 542895 606765 615281 651474 687667 728118 1085790 1213530 1230562 1375334 1628685 1820295 1845843 2063001 3076405 3257370 3438335 3640590 3691686 4126002 5537529 6152810 6189003 6876670 9229215 10315005 11075058 11690339 12378006 18458430 20630010 23380678 27687645 30945015 35071017 55375290 58451695 61890030 70142034 105213051 116903390 175355085 210426102 350710170 526065255 1052130510