Search a number
-
+
18078192 = 243211101113
BaseRepresentation
bin100010011110…
…1100111110000
31021000110121200
41010331213300
514112000232
61443251200
7306443046
oct104754760
937013550
1018078192
11a228460
126079b00
13398c772
142588396
1518c177c
hex113d9f0

18078192 has 120 divisors (see below), whose sum is σ = 56233008. Its totient is φ = 5376000.

The previous prime is 18078169. The next prime is 18078197. The reversal of 18078192 is 29187081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18078197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159928 + ... + 160040.

Almost surely, 218078192 is an apocalyptic number.

18078192 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 18078192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28116504).

18078192 is an abundant number, since it is smaller than the sum of its proper divisors (38154816).

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

18078192 is a wasteful number, since it uses less digits than its factorization.

18078192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 18078192 is about 4251.8457168623. The cubic root of 18078192 is about 262.4530746052.

Subtracting 18078192 from its reverse (29187081), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1807 and 8192, that added together give a palindrome (9999).

The spelling of 18078192 in words is "eighteen million, seventy-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 101 113 132 144 176 198 202 226 264 303 339 396 404 452 528 606 678 792 808 904 909 1017 1111 1212 1243 1356 1584 1616 1808 1818 2034 2222 2424 2486 2712 3333 3636 3729 4068 4444 4848 4972 5424 6666 7272 7458 8136 8888 9944 9999 11187 11413 13332 14544 14916 16272 17776 19888 19998 22374 22826 26664 29832 34239 39996 44748 45652 53328 59664 68478 79992 89496 91304 102717 125543 136956 159984 178992 182608 205434 251086 273912 376629 410868 502172 547824 753258 821736 1004344 1129887 1506516 1643472 2008688 2259774 3013032 4519548 6026064 9039096 18078192