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181306104 = 23373121123
BaseRepresentation
bin10101100111010…
…00001011111000
3110122011022012220
422303220023320
5332403243404
625554004040
74331035140
oct1263501370
9418138186
10181306104
1193384a61
1250876620
132b740525
141a117920
1510db54d9
hexace82f8

181306104 has 96 divisors (see below), whose sum is σ = 535743360. Its totient is φ = 50086080.

The previous prime is 181306093. The next prime is 181306109. The reversal of 181306104 is 401603181.

181306104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181306109) 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, 160887 + ... + 162009.

It is an arithmetic number, because the mean of its divisors is an integer number (5580660).

Almost surely, 2181306104 is an apocalyptic number.

181306104 is a gapful number since it is divisible by the number (14) 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 181306104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267871680).

181306104 is an abundant number, since it is smaller than the sum of its proper divisors (354437256).

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

181306104 is a wasteful number, since it uses less digits than its factorization.

181306104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 181306104 is about 13464.9955068689. The cubic root of 181306104 is about 565.9839840307.

Adding to 181306104 its reverse (401603181), we get a palindrome (582909285).

The spelling of 181306104 in words is "one hundred eighty-one million, three hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 961 1123 1302 1736 1922 2246 2604 2883 3369 3844 4492 5208 5766 6727 6738 7688 7861 8984 11532 13454 13476 15722 20181 23064 23583 26908 26952 31444 34813 40362 47166 53816 62888 69626 80724 94332 104439 139252 161448 188664 208878 243691 278504 417756 487382 731073 835512 974764 1079203 1462146 1949528 2158406 2924292 3237609 4316812 5848584 6475218 7554421 8633624 12950436 15108842 22663263 25900872 30217684 45326526 60435368 90653052 181306104