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1065488130 = 232572922011
BaseRepresentation
bin111111100000100…
…000111100000010
32202020220101221100
4333200200330002
54140231110010
6253421035230
735255333250
oct7740407402
92666811840
101065488130
114a7493003
122589b5b16
1313c989165
14a17175d0
156381a2c0
hex3f820f02

1065488130 has 144 divisors (see below), whose sum is σ = 3280590144. Its totient is φ = 235025280.

The previous prime is 1065488129. The next prime is 1065488147. The reversal of 1065488130 is 318845601.

1065488130 is a `hidden beast` number, since 1 + 0 + 6 + 548 + 81 + 30 = 666.

It is a super-2 number, since 2×10654881302 = 2270529910341793800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 528825 + ... + 530835.

It is an arithmetic number, because the mean of its divisors is an integer number (22781876).

Almost surely, 21065488130 is an apocalyptic number.

1065488130 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 1065488130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640295072).

1065488130 is an abundant number, since it is smaller than the sum of its proper divisors (2215102014).

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

1065488130 is a wasteful number, since it uses less digits than its factorization.

1065488130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1065488130 is about 32641.8156664117. The cubic root of 1065488130 is about 1021.3694696154.

The spelling of 1065488130 in words is "one billion, sixty-five million, four hundred eighty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 841 870 1015 1218 1305 1682 1827 2011 2030 2523 2610 3045 3654 4022 4205 5046 5887 6033 6090 7569 8410 9135 10055 11774 12066 12615 14077 15138 17661 18099 18270 20110 25230 28154 29435 30165 35322 36198 37845 42231 52983 58319 58870 60330 70385 75690 84462 88305 90495 105966 116638 126693 140770 174957 176610 180990 211155 253386 264915 291595 349914 408233 422310 524871 529830 583190 633465 816466 874785 1049742 1224699 1266930 1691251 1749570 2041165 2449398 2624355 3382502 3674097 4082330 5073753 5248710 6123495 7348194 8456255 10147506 11838757 12246990 15221259 16912510 18370485 23677514 25368765 30442518 35516271 36740970 50737530 59193785 71032542 76106295 106548813 118387570 152212590 177581355 213097626 355162710 532744065 1065488130