Search a number
-
+
1104106068 = 22321321731049
BaseRepresentation
bin100000111001111…
…0101001001010100
32211221120101210100
41001303311021110
54230122343233
6301320454100
736234514062
oct10163651124
92757511710
101104106068
1151726a25a
1226991a330
1314798a900
14a68cb032
1566de7813
hex41cf5254

1104106068 has 108 divisors (see below), whose sum is σ = 3042503100. Its totient is φ = 337439232.

The previous prime is 1104106063. The next prime is 1104106103. The reversal of 1104106068 is 8606014011.

1104106068 is a `hidden beast` number, since 1 + 10 + 41 + 0 + 606 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8363664 + 1095742404 = 2892^2 + 33102^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104106063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1052008 + ... + 1053056.

It is an arithmetic number, because the mean of its divisors is an integer number (28171325).

Almost surely, 21104106068 is an apocalyptic number.

1104106068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104106068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521251550).

1104106068 is an abundant number, since it is smaller than the sum of its proper divisors (1938397032).

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

1104106068 is a wasteful number, since it uses less digits than its factorization.

1104106068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1104106068 is about 33228.0915491697. The cubic root of 1104106068 is about 1033.5629485807.

The spelling of 1104106068 in words is "one billion, one hundred four million, one hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 173 234 338 346 468 507 519 676 692 1014 1038 1049 1521 1557 2028 2076 2098 2249 3042 3114 3147 4196 4498 6084 6228 6294 6747 8996 9441 12588 13494 13637 18882 20241 26988 27274 29237 37764 40482 40911 54548 58474 80964 81822 87711 116948 122733 163644 175422 177281 181477 245466 263133 350844 354562 362954 490932 526266 531843 544431 709124 725908 1052532 1063686 1088862 1595529 1633293 2127372 2177724 2359201 3191058 3266586 4718402 6382116 6533172 7077603 9436804 14155206 21232809 28310412 30669613 42465618 61339226 84931236 92008839 122678452 184017678 276026517 368035356 552053034 1104106068