Search a number
-
+
11141424 = 2432721579
BaseRepresentation
bin101010100000…
…000100110000
3202222001011100
4222200010300
510323011144
61034444400
7163462200
oct52400460
922861140
1011141424
11631a798
123893700
132401278
1416a0400
15ea1269
hexaa0130

11141424 has 90 divisors (see below), whose sum is σ = 36294180. Its totient is φ = 3181248.

The previous prime is 11141401. The next prime is 11141437. The reversal of 11141424 is 42414111.

11141424 = T427 + T428 + ... + T524.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11141397 and 11141406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6267 + ... + 7845.

Almost surely, 211141424 is an apocalyptic number.

11141424 is a gapful number since it is divisible by the number (14) 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 11141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147090).

11141424 is an abundant number, since it is smaller than the sum of its proper divisors (25152756).

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

11141424 is a wasteful number, since it uses less digits than its factorization.

11141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1591 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 11141424 is about 3337.8771696993. The cubic root of 11141424 is about 223.3470569028.

Adding to 11141424 its reverse (42414111), we get a palindrome (53555535).

The spelling of 11141424 in words is "eleven million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1579 1764 2352 3158 3528 4737 6316 7056 9474 11053 12632 14211 18948 22106 25264 28422 33159 37896 44212 56844 66318 75792 77371 88424 99477 113688 132636 154742 176848 198954 227376 232113 265272 309484 397908 464226 530544 618968 696339 795816 928452 1237936 1392678 1591632 1856904 2785356 3713808 5570712 11141424