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13418328 = 23371153137
BaseRepresentation
bin110011001011…
…111101011000
3221020201111010
4303023331120
511413341303
61155333520
7222024330
oct63137530
927221433
1013418328
117635430
1245b12a0
132a1a751
141ad40c0
1512a0c03
hexccbf58

13418328 has 128 divisors (see below), whose sum is σ = 42923520. Its totient is φ = 3394560.

The previous prime is 13418303. The next prime is 13418333. The reversal of 13418328 is 82381431.

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 = 13418295 and 13418304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97876 + ... + 98012.

It is an arithmetic number, because the mean of its divisors is an integer number (335340).

Almost surely, 213418328 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 13418328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21461760).

13418328 is an abundant number, since it is smaller than the sum of its proper divisors (29505192).

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

13418328 is a wasteful number, since it uses less digits than its factorization.

13418328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 13418328 is about 3663.1036021385. The cubic root of 13418328 is about 237.6290150375.

Adding to 13418328 its reverse (82381431), we get a palindrome (95799759).

It can be divided in two parts, 1341 and 8328, that added together give a palindrome (9669).

The spelling of 13418328 in words is "thirteen million, four hundred eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 53 56 66 77 84 88 106 132 137 154 159 168 212 231 264 274 308 318 371 411 424 462 548 583 616 636 742 822 924 959 1096 1113 1166 1272 1484 1507 1644 1749 1848 1918 2226 2332 2877 2968 3014 3288 3498 3836 4081 4452 4521 4664 5754 6028 6996 7261 7672 8162 8904 9042 10549 11508 12056 12243 13992 14522 16324 18084 21098 21783 23016 24486 29044 31647 32648 36168 42196 43566 48972 50827 58088 63294 79871 84392 87132 97944 101654 126588 152481 159742 174264 203308 239613 253176 304962 319484 406616 479226 559097 609924 638968 958452 1118194 1219848 1677291 1916904 2236388 3354582 4472776 6709164 13418328