Search a number
-
+
16826112 = 283267109
BaseRepresentation
bin100000000101…
…1111100000000
31011122212002100
41000023330000
513301413422
61400350400
7263006502
oct100137400
934585070
1016826112
119552786
125775400
1336418a4
14233dd72
1517257ac
hex100bf00

16826112 has 108 divisors (see below), whose sum is σ = 49689640. Its totient is φ = 5474304.

The previous prime is 16826101. The next prime is 16826129. The reversal of 16826112 is 21162861.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154314 + ... + 154422.

Almost surely, 216826112 is an apocalyptic number.

16826112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24844820).

16826112 is an abundant number, since it is smaller than the sum of its proper divisors (32863528).

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

16826112 is a wasteful number, since it uses less digits than its factorization.

16826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 16826112 is about 4101.9644074516. The cubic root of 16826112 is about 256.2484567030.

Adding to 16826112 its reverse (21162861), we get a palindrome (37988973).

The spelling of 16826112 in words is "sixteen million, eight hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 109 128 134 144 192 201 218 256 268 288 327 384 402 436 536 576 603 654 768 804 872 981 1072 1152 1206 1308 1608 1744 1962 2144 2304 2412 2616 3216 3488 3924 4288 4824 5232 6432 6976 7303 7848 8576 9648 10464 12864 13952 14606 15696 17152 19296 20928 21909 25728 27904 29212 31392 38592 41856 43818 51456 58424 62784 65727 77184 83712 87636 116848 125568 131454 154368 175272 233696 251136 262908 350544 467392 525816 701088 934784 1051632 1402176 1869568 2103264 2804352 4206528 5608704 8413056 16826112