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1028530305 = 35511411877
BaseRepresentation
bin111101010011100…
…010000010000001
32122200100202100000
4331103202002001
54101300432210
6250020550213
734326235425
oct7523420201
92580322300
101028530305
11488640050
12248552369
1313511921a
149a856b85
1560469ac0
hex3d4e2081

1028530305 has 96 divisors (see below), whose sum is σ = 2067182208. Its totient is φ = 486259200.

The previous prime is 1028530297. The next prime is 1028530313. The reversal of 1028530305 is 5030358201.

It is an interprime number because it is at equal distance from previous prime (1028530297) and next prime (1028530313).

It is not a de Polignac number, because 1028530305 - 23 = 1028530297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547027 + ... + 548903.

It is an arithmetic number, because the mean of its divisors is an integer number (21533148).

Almost surely, 21028530305 is an apocalyptic number.

1028530305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1028530305 is an abundant number, since it is smaller than the sum of its proper divisors (1038651903).

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

1028530305 is a wasteful number, since it uses less digits than its factorization.

1028530305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1028530305 is about 32070.7078967708. The cubic root of 1028530305 is about 1009.4210664467.

Adding to 1028530305 its reverse (5030358201), we get a palindrome (6058888506).

The spelling of 1028530305 in words is "one billion, twenty-eight million, five hundred thirty thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 33 41 45 55 81 99 123 135 165 205 243 297 369 405 451 495 615 891 1107 1215 1353 1485 1845 1877 2255 2673 3321 4059 4455 5535 5631 6765 9385 9963 12177 13365 16605 16893 20295 20647 28155 36531 49815 50679 60885 61941 76957 84465 103235 109593 152037 182655 185823 230871 253395 309705 384785 456111 547965 557469 692613 760185 846527 929115 1154355 1672407 2077839 2280555 2539581 2787345 3463065 4232635 5017221 6233517 7618743 8362035 10389195 12697905 18700551 22856229 25086105 31167585 38093715 68568687 93502755 114281145 205706061 342843435 1028530305