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30075 = 352401
BaseRepresentation
bin111010101111011
31112020220
413111323
51430300
6351123
7153453
oct72573
945226
1030075
1120661
12154a3
13108c6
14ad63
158da0
hex757b

30075 has 12 divisors (see below), whose sum is σ = 49848. Its totient is φ = 16000.

The previous prime is 30071. The next prime is 30089. The reversal of 30075 is 57003.

Adding to 30075 its reverse (57003), we get a palindrome (87078).

It can be divided in two parts, 300 and 75, that multiplied together give a square (22500 = 1502).

It is not a de Polignac number, because 30075 - 22 = 30071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

30075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (30071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (4154).

230075 is an apocalyptic number.

30075 is a deficient number, since it is larger than the sum of its proper divisors (19773).

30075 is a wasteful number, since it uses less digits than its factorization.

30075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 30075 is about 173.4214519602. The cubic root of 30075 is about 31.0981971157.

The spelling of 30075 in words is "thirty thousand, seventy-five".

Divisors: 1 3 5 15 25 75 401 1203 2005 6015 10025 30075