Search a number
-
+
11216394 = 23672157
BaseRepresentation
bin101010110010…
…011000001010
3210002212000000
4222302120022
510332411034
61040223430
7164223600
oct52623012
923085000
1011216394
116371052
12390ab76
132429427
1416bd870
15eb8599
hexab260a

11216394 has 84 divisors (see below), whose sum is σ = 29530674. Its totient is φ = 3184272.

The previous prime is 11216393. The next prime is 11216399. The reversal of 11216394 is 49361211.

11216394 is a `hidden beast` number, since 1 + 1 + 21 + 639 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10323369 + 893025 = 3213^2 + 945^2 .

It is a super-3 number, since 3×112163943 (a number of 22 digits) contains 333 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11216393) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71364 + ... + 71520.

Almost surely, 211216394 is an apocalyptic number.

11216394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11216394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765337).

11216394 is an abundant number, since it is smaller than the sum of its proper divisors (18314280).

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

11216394 is an equidigital number, since it uses as much as digits as its factorization.

11216394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11216394 is about 3349.0885327205. The cubic root of 11216394 is about 223.8469005919.

The spelling of 11216394 in words is "eleven million, two hundred sixteen thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 157 162 189 243 294 314 378 441 471 486 567 729 882 942 1099 1134 1323 1413 1458 1701 2198 2646 2826 3297 3402 3969 4239 5103 6594 7693 7938 8478 9891 10206 11907 12717 15386 19782 23079 23814 25434 29673 35721 38151 46158 59346 69237 71442 76302 89019 114453 138474 178038 207711 228906 267057 415422 534114 623133 801171 1246266 1602342 1869399 3738798 5608197 11216394