Search a number
-
+
1161092166 = 23131931127199
BaseRepresentation
bin100010100110100…
…1101110001000110
32222220210121000120
41011031031301012
54334214422131
6311114122410
740526056233
oct10515156106
92886717016
101161092166
11546451803
12284a20406
13156720ab0
14b02c278a
156be02496
hex4534dc46

1161092166 has 128 divisors (see below), whose sum is σ = 2752512000. Its totient is φ = 323326080.

The previous prime is 1161092123. The next prime is 1161092167. The reversal of 1161092166 is 6612901611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161092167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5834535 + ... + 5834733.

It is an arithmetic number, because the mean of its divisors is an integer number (21504000).

Almost surely, 21161092166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161092166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376256000).

1161092166 is an abundant number, since it is smaller than the sum of its proper divisors (1591419834).

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

1161092166 is a wasteful number, since it uses less digits than its factorization.

1161092166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1161092166 is about 34074.8025085986. The cubic root of 1161092166 is about 1051.0472291101.

Adding to 1161092166 its reverse (6612901611), we get a palindrome (7773993777).

The spelling of 1161092166 in words is "one billion, one hundred sixty-one million, ninety-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 127 186 199 247 254 381 398 403 494 589 597 741 762 806 1178 1194 1209 1482 1651 1767 2413 2418 2587 3302 3534 3781 3937 4826 4953 5174 6169 7239 7562 7657 7761 7874 9906 11343 11811 12338 14478 15314 15522 18507 22686 22971 23622 25273 31369 37014 45942 49153 50546 51181 62738 74803 75819 80197 94107 98306 102362 117211 147459 149606 151638 153543 160394 188214 224409 234422 240591 294918 307086 328549 351633 448818 480187 481182 657098 703266 783463 960374 972439 985647 1440561 1523743 1566926 1944878 1971294 2350389 2881122 2917317 3047486 4571229 4700778 5834634 6242431 9142458 10185019 12484862 14885797 18727293 20370038 29771594 30555057 37454586 44657391 61110114 89314782 193515361 387030722 580546083 1161092166