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11113146 = 2331153353
BaseRepresentation
bin101010011001…
…001010111010
3202220121101000
4222121022322
510321110041
61034105430
7163313562
oct52311272
922817330
1011113146
116300520
12387b276
1323c1435
141693da2
15e97bb6
hexa992ba

11113146 has 64 divisors (see below), whose sum is σ = 27527040. Its totient is φ = 3294720.

The previous prime is 11113129. The next prime is 11113153. The reversal of 11113146 is 64131111.

11113146 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31306 + ... + 31658.

It is an arithmetic number, because the mean of its divisors is an integer number (430110).

Almost surely, 211113146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11113146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763520).

11113146 is an abundant number, since it is smaller than the sum of its proper divisors (16413894).

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

11113146 is a wasteful number, since it uses less digits than its factorization.

11113146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 11113146 is about 3333.6385526928. The cubic root of 11113146 is about 223.1579380793.

Adding to 11113146 its reverse (64131111), we get a palindrome (75244257).

The spelling of 11113146 in words is "eleven million, one hundred thirteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 353 477 583 594 706 954 1059 1166 1431 1749 2118 2862 3177 3498 3883 5247 6354 7766 9531 10494 11649 15741 18709 19062 23298 31482 34947 37418 56127 69894 104841 112254 168381 205799 209682 336762 411598 505143 617397 1010286 1234794 1852191 3704382 5556573 11113146