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78030 = 2335172
BaseRepresentation
bin10011000011001110
310222001000
4103003032
54444110
61401130
7443331
oct230316
9128030
1078030
1153697
12391a6
1329694
1420618
15181c0
hex130ce

78030 has 48 divisors (see below), whose sum is σ = 221040. Its totient is φ = 19584.

The previous prime is 78017. The next prime is 78031. The reversal of 78030 is 3087.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 5 and base 7.

It is a junction number, because it is equal to n+sod(n) for n = 77994 and 78012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4582 + ... + 4598.

It is an arithmetic number, because the mean of its divisors is an integer number (4605).

278030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110520).

78030 is an abundant number, since it is smaller than the sum of its proper divisors (143010).

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

78030 is a wasteful number, since it uses less digits than its factorization.

78030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 27 counting only the distinct ones).

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

The square root of 78030 is about 279.3385043276. The cubic root of 78030 is about 42.7320638824.

The spelling of 78030 in words is "seventy-eight thousand, thirty".