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1085150196 = 223413534861
BaseRepresentation
bin100000010101110…
…0001001111110100
32210121220100020000
41000223201033310
54210244301241
6255402311300
735614424124
oct10053411764
92717810200
101085150196
115075a2449
122634b8530
13143a81810
14a4194c84
1565400eb6
hex40ae13f4

1085150196 has 120 divisors (see below), whose sum is σ = 3113294184. Its totient is φ = 327525120.

The previous prime is 1085150191. The next prime is 1085150203. The reversal of 1085150196 is 6910515801.

1085150196 is a `hidden beast` number, since 10 + 8 + 51 + 501 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 306740196 + 778410000 = 17514^2 + 27900^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1085150196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085150191) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220806 + ... + 225666.

Almost surely, 21085150196 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 1085150196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556647092).

1085150196 is an abundant number, since it is smaller than the sum of its proper divisors (2028143988).

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

1085150196 is a wasteful number, since it uses less digits than its factorization.

1085150196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 1085150196 is about 32941.6179930495. The cubic root of 1085150196 is about 1027.6138549311.

Adding to 1085150196 its reverse (6910515801), we get a palindrome (7995665997).

The spelling of 1085150196 in words is "one billion, eighty-five million, one hundred fifty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 81 106 108 117 156 159 162 212 234 318 324 351 468 477 636 689 702 954 1053 1378 1404 1431 1908 2067 2106 2756 2862 4134 4212 4293 4861 5724 6201 8268 8586 9722 12402 14583 17172 18603 19444 24804 29166 37206 43749 55809 58332 63193 74412 87498 111618 126386 131247 174996 189579 223236 252772 257633 262494 379158 393741 515266 524988 568737 758316 772899 787482 1030532 1137474 1545798 1574964 1706211 2274948 2318697 3091596 3349229 3412422 4637394 5118633 6698458 6824844 6956091 9274788 10047687 10237266 13396916 13912182 20095374 20474532 20868273 27824364 30143061 40190748 41736546 60286122 83473092 90429183 120572244 180858366 271287549 361716732 542575098 1085150196