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30096 = 24321119

30096 has 60 divisors (see below), whose sum is σ = 96720. Its totient is φ = 8640.

The previous prime is 30091. The next prime is 30097. The reversal of 30096 is 69003.

30096 is nontrivially palindromic in base 5.

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

It is not an unprimeable number, because it can be changed into a prime (30091) by changing a digit.

30096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1575 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (1612).

230096 is an apocalyptic number.

30096 is a gapful number since it is divisible by the number (36) 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 30096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360).

30096 is an abundant number, since it is smaller than the sum of its proper divisors (66624).

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

30096 is a wasteful number, since it uses less digits than its factorization.

30096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 30096 is about 173.4819875376. The cubic root of 30096 is about 31.1054335823.

Adding to 30096 its reverse (69003), we get a palindrome (99099).

The spelling of 30096 in words is "thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096