30000 has 50 divisors (see below), whose sum is σ = 96844. Its totient is φ = 8000.

The previous prime is 29989. The next prime is 30011. The reversal of 30000 is 3.

It is an interprime number because it is at equal distance from previous prime (29989) and next prime (30011).

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10 and base 16.

It is an unprimeable number.

30000 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 9 ways as a sum of consecutive naturals, for example, 5998 + ... + 6002.

2^{30000} is an apocalyptic number.

30000 is a gapful number since it is divisible by the number (30) 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 30000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48422).

30000 is an abundant number, since it is smaller than the sum of its proper divisors (66844).

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

30000 is an equidigital number, since it uses as much as digits as its factorization.

30000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 3.

The square root of 30000 is about 173.2050807569. The cubic root of 30000 is about 31.0723250595.

The spelling of 30000 in words is "thirty thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000

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