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11411004 = 22311137631
BaseRepresentation
bin101011100001…
…111000111100
3210110201221210
4223201320330
510410123004
61044324420
7165664143
oct53417074
923421853
1011411004
116494290
1239a3710
132496b97
14173075a
151006089
hexae1e3c

11411004 has 48 divisors (see below), whose sum is σ = 29304576. Its totient is φ = 3427200.

The previous prime is 11410991. The next prime is 11411011. The reversal of 11411004 is 40011411.

It is a super-2 number, since 2×114110042 = 260422024576032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17769 + ... + 18399.

It is an arithmetic number, because the mean of its divisors is an integer number (610512).

Almost surely, 211411004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11411004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14652288).

11411004 is an abundant number, since it is smaller than the sum of its proper divisors (17893572).

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

11411004 is a wasteful number, since it uses less digits than its factorization.

11411004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11411004 is about 3378.0177619426. The cubic root of 11411004 is about 225.1341027733.

Adding to 11411004 its reverse (40011411), we get a palindrome (51422415).

It can be divided in two parts, 1141 and 1004, that added together give a triangular number (2145 = T65).

The spelling of 11411004 in words is "eleven million, four hundred eleven thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 631 822 1262 1507 1644 1893 2524 3014 3786 4521 6028 6941 7572 9042 13882 18084 20823 27764 41646 83292 86447 172894 259341 345788 518682 950917 1037364 1901834 2852751 3803668 5705502 11411004