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13042428 = 2237241541
BaseRepresentation
bin110001110000…
…001011111100
3220112121211220
4301300023330
511314324203
61143313340
7215600400
oct61601374
926477756
1013042428
1173a8a73
12444b850
132918619
141a37100
151229653
hexc702fc

13042428 has 72 divisors (see below), whose sum is σ = 36331344. Its totient is φ = 3628800.

The previous prime is 13042423. The next prime is 13042429. The reversal of 13042428 is 82424031.

13042428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13042398 and 13042407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23838 + ... + 24378.

It is an arithmetic number, because the mean of its divisors is an integer number (504602).

Almost surely, 213042428 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 13042428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18165672).

13042428 is an abundant number, since it is smaller than the sum of its proper divisors (23288916).

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

13042428 is a wasteful number, since it uses less digits than its factorization.

13042428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13042428 is about 3611.4301876127. The cubic root of 13042428 is about 235.3889920880.

Adding to 13042428 its reverse (82424031), we get a palindrome (95466459).

The spelling of 13042428 in words is "thirteen million, forty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 541 574 588 861 1082 1148 1623 1722 2009 2164 3246 3444 3787 4018 6027 6492 7574 8036 11361 12054 15148 22181 22722 24108 26509 44362 45444 53018 66543 79527 88724 106036 133086 155267 159054 266172 310534 318108 465801 621068 931602 1086869 1863204 2173738 3260607 4347476 6521214 13042428