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13041126 = 2327294383
BaseRepresentation
bin110001101111…
…110111100110
3220112120001200
4301233313212
511314304001
61143303330
7215563530
oct61576746
926476050
1013041126
1173a7a9a
12444ab46
132917b57
141a36850
151229086
hexc6fde6

13041126 has 96 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3471552.

The previous prime is 13041121. The next prime is 13041143. The reversal of 13041126 is 62114031.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13041099 and 13041108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157081 + ... + 157163.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 213041126 is an apocalyptic number.

13041126 is the 1806-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13041126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

13041126 is an abundant number, since it is smaller than the sum of its proper divisors (21553434).

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

13041126 is a wasteful number, since it uses less digits than its factorization.

13041126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13041126 is about 3611.2499221184. The cubic root of 13041126 is about 235.3811590202.

Adding to 13041126 its reverse (62114031), we get a palindrome (75155157).

The spelling of 13041126 in words is "thirteen million, forty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 43 58 63 83 86 87 126 129 166 174 203 249 258 261 301 387 406 498 522 581 602 609 747 774 903 1162 1218 1247 1494 1743 1806 1827 2407 2494 2709 3486 3569 3654 3741 4814 5229 5418 7138 7221 7482 8729 10458 10707 11223 14442 16849 17458 21414 21663 22446 24983 26187 32121 33698 43326 49966 50547 52374 64242 74949 78561 101094 103501 149898 151641 157122 207002 224847 303282 310503 449694 621006 724507 931509 1449014 1863018 2173521 4347042 6520563 13041126