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19008 = 263311
BaseRepresentation
bin100101001000000
3222002000
410221000
51102013
6224000
7106263
oct45100
928060
1019008
1113310
12b000
138862
146cda
155973
hex4a40

19008 has 56 divisors (see below), whose sum is σ = 60960. Its totient is φ = 5760.

The previous prime is 19001. The next prime is 19009. The reversal of 19008 is 80091.

It is a super-2 number, since 2×190082 = 722608128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12 and base 13.

It is not an unprimeable number, because it can be changed into a prime (19001) by changing a digit.

19008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1723 + ... + 1733.

219008 is an apocalyptic number.

19008 is a gapful number since it is divisible by the number (18) 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 19008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30480).

19008 is an abundant number, since it is smaller than the sum of its proper divisors (41952).

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

19008 is a wasteful number, since it uses less digits than its factorization.

19008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 19008 is about 137.8695035169. The cubic root of 19008 is about 26.6877610868.

Adding to 19008 its reverse (80091), we get a palindrome (99099).

It can be divided in two parts, 1 and 9008, that added together give a palindrome (9009).

The spelling of 19008 in words is "nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008