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11141046 = 2327293049
BaseRepresentation
bin101010011111…
…111110110110
3202222000122100
4222133332312
510323003141
61034442530
7163461120
oct52377666
922860570
1011141046
11631a484
123893446
132401047
1416a0210
15ea10b6
hexa9ffb6

11141046 has 48 divisors (see below), whose sum is σ = 28548000. Its totient is φ = 3072384.

The previous prime is 11141023. The next prime is 11141047. The reversal of 11141046 is 64014111.

It is a super-3 number, since 3×111410463 (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2130 + ... + 5178.

It is an arithmetic number, because the mean of its divisors is an integer number (594750).

Almost surely, 211141046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274000).

11141046 is an abundant number, since it is smaller than the sum of its proper divisors (17406954).

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

11141046 is a wasteful number, since it uses less digits than its factorization.

11141046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11141046 is about 3337.8205464045. The cubic root of 11141046 is about 223.3445310096.

Adding to 11141046 its reverse (64014111), we get a palindrome (75155157).

The spelling of 11141046 in words is "eleven million, one hundred forty-one thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3049 3654 6098 9147 18294 21343 27441 42686 54882 64029 88421 128058 176842 192087 265263 384174 530526 618947 795789 1237894 1591578 1856841 3713682 5570523 11141046