Search a number
-
+
11966238 = 23319107109
BaseRepresentation
bin101101101001…
…011100011110
3211111221121000
4231221130132
511030404423
61104251130
7203465664
oct55513436
924457530
1011966238
116833459
124010aa6
13262c81b
141836c34
1510b5843
hexb6971e

11966238 has 64 divisors (see below), whose sum is σ = 28512000. Its totient is φ = 3709152.

The previous prime is 11966197. The next prime is 11966239. The reversal of 11966238 is 83266911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11966239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109728 + ... + 109836.

It is an arithmetic number, because the mean of its divisors is an integer number (445500).

Almost surely, 211966238 is an apocalyptic number.

11966238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11966238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256000).

11966238 is an abundant number, since it is smaller than the sum of its proper divisors (16545762).

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

11966238 is a wasteful number, since it uses less digits than its factorization.

11966238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11966238 is about 3459.2250577261. The cubic root of 11966238 is about 228.7279365982.

The spelling of 11966238 in words is "eleven million, nine hundred sixty-six thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 107 109 114 171 214 218 321 327 342 513 642 654 963 981 1026 1926 1962 2033 2071 2889 2943 4066 4142 5778 5886 6099 6213 11663 12198 12426 18297 18639 23326 34989 36594 37278 54891 55917 69978 104967 109782 111834 209934 221597 314901 443194 629802 664791 1329582 1994373 3988746 5983119 11966238