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1085020935 = 35192943271
BaseRepresentation
bin100000010101100…
…0001101100000111
32210121122202220120
41000223001230013
54210231132220
6255355433023
735613345225
oct10053015407
92717582816
101085020935
11507514319
12263455773
13143a37a2b
14a415db15
15653c7a40
hex40ac1b07

1085020935 has 96 divisors (see below), whose sum is σ = 1962662400. Its totient is φ = 509725440.

The previous prime is 1085020933. The next prime is 1085020949. The reversal of 1085020935 is 5390205801.

It is not a de Polignac number, because 1085020935 - 21 = 1085020933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1085020896 and 1085020905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085020931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15281950 + ... + 15282020.

It is an arithmetic number, because the mean of its divisors is an integer number (20444400).

Almost surely, 21085020935 is an apocalyptic number.

1085020935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1085020935 is a deficient number, since it is larger than the sum of its proper divisors (877641465).

1085020935 is a wasteful number, since it uses less digits than its factorization.

1085020935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 1085020935 is about 32939.6559635950. The cubic root of 1085020935 is about 1027.5730508502.

The spelling of 1085020935 in words is "one billion, eighty-five million, twenty thousand, nine hundred thirty-five".

Divisors: 1 3 5 15 19 29 43 57 71 87 95 129 145 213 215 285 355 435 551 645 817 1065 1247 1349 1653 1849 2059 2451 2755 3053 3741 4047 4085 5547 6177 6235 6745 8265 9159 9245 10295 12255 15265 18705 20235 23693 27735 30885 35131 39121 45795 53621 58007 71079 88537 105393 117363 118465 131279 160863 174021 175655 195605 265611 268105 290035 355395 393837 442685 526965 586815 656395 804315 870105 1018799 1328055 1682203 1969185 2494301 3056397 3807091 5046609 5093995 7482903 8411015 11421273 12471505 15281985 19035455 25233045 37414515 57106365 72334729 217004187 361673645 1085020935