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1085105028 = 2237311093823
BaseRepresentation
bin100000010101101…
…0110001110000100
32210121211001021010
41000223112032010
54210241330103
6255401322220
735614145340
oct10053261604
92717731233
101085105028
11507571517
12263496370
13143a670a7
14a4182620
15653e2903
hex40ad6384

1085105028 has 96 divisors (see below), whose sum is σ = 3015147520. Its totient is φ = 297198720.

The previous prime is 1085105009. The next prime is 1085105041. The reversal of 1085105028 is 8205015801.

It is a junction number, because it is equal to n+sod(n) for n = 1085104986 and 1085105004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281925 + ... + 285747.

Almost surely, 21085105028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085105028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507573760).

1085105028 is an abundant number, since it is smaller than the sum of its proper divisors (1930042492).

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

1085105028 is a wasteful number, since it uses less digits than its factorization.

1085105028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 1085105028 is about 32940.9324093900. The cubic root of 1085105028 is about 1027.5995970257.

The spelling of 1085105028 in words is "one billion, eighty-five million, one hundred five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 109 124 186 217 218 327 372 434 436 651 654 763 868 1302 1308 1526 2289 2604 3052 3379 3823 4578 6758 7646 9156 10137 11469 13516 15292 20274 22938 23653 26761 40548 45876 47306 53522 70959 80283 94612 107044 118513 141918 160566 237026 283836 321132 355539 416707 474052 711078 829591 833414 1250121 1422156 1659182 1666828 2488773 2500242 2916949 3318364 4977546 5000484 5833898 8750847 9955092 11667796 12917917 17501694 25835834 35003388 38753751 51671668 77507502 90425419 155015004 180850838 271276257 361701676 542552514 1085105028