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30078 = 233557
BaseRepresentation
bin111010101111110
31112021000
413111332
51430303
6351130
7153456
oct72576
945230
1030078
1120664
12154a6
13108c9
14ad66
158da3
hex757e

30078 has 16 divisors (see below), whose sum is σ = 66960. Its totient is φ = 10008.

The previous prime is 30071. The next prime is 30089. The reversal of 30078 is 87003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30078.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 225 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

230078 is an apocalyptic number.

30078 is an abundant number, since it is smaller than the sum of its proper divisors (36882).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480).

30078 is a wasteful number, since it uses less digits than its factorization.

30078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 30078 is about 173.4301011935. The cubic root of 30078 is about 31.0992311028.

It can be divided in two parts, 300 and 78, that added together give a triangular number (378 = T27).

The spelling of 30078 in words is "thirty thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 557 1114 1671 3342 5013 10026 15039 30078