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11131668 = 2234174347
BaseRepresentation
bin101010011101…
…101100010100
3202221112210000
4222131230110
510322203133
61034331300
7163421562
oct52355424
922845700
1011131668
116313429
123889b30
1323c99b2
14169aa32
15e9d413
hexa9db14

11131668 has 120 divisors (see below), whose sum is σ = 32199552. Its totient is φ = 3338496.

The previous prime is 11131657. The next prime is 11131669. The reversal of 11131668 is 86613111.

11131668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131669) 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, 236821 + ... + 236867.

Almost surely, 211131668 is an apocalyptic number.

11131668 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 11131668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099776).

11131668 is an abundant number, since it is smaller than the sum of its proper divisors (21067884).

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

11131668 is a wasteful number, since it uses less digits than its factorization.

11131668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11131668 is about 3336.4154417578. The cubic root of 11131668 is about 223.2818465011.

Adding to 11131668 its reverse (86613111), we get a palindrome (97744779).

The spelling of 11131668 in words is "eleven million, one hundred thirty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 47 51 54 68 81 86 94 102 108 129 141 153 162 172 188 204 258 282 306 324 387 423 459 516 564 612 731 774 799 846 918 1161 1269 1377 1462 1548 1598 1692 1836 2021 2193 2322 2397 2538 2754 2924 3196 3483 3807 4042 4386 4644 4794 5076 5508 6063 6579 6966 7191 7614 8084 8772 9588 12126 13158 13932 14382 15228 18189 19737 21573 24252 26316 28764 34357 36378 39474 43146 54567 59211 64719 68714 72756 78948 86292 103071 109134 118422 129438 137428 163701 206142 218268 236844 258876 309213 327402 412284 618426 654804 927639 1236852 1855278 2782917 3710556 5565834 11131668