30001248 has 72 divisors (see below), whose sum is σ = 86545368. Its totient is φ = 9856512.

The previous prime is 30001241. The next prime is 30001249. The reversal of 30001248 is 84210003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 30001248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30001241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20311 + ... + 21737.

It is an arithmetic number, because the mean of its divisors is an integer number (1202019).

Almost surely, 2^30001248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43272684).

30001248 is an abundant number, since it is smaller than the sum of its proper divisors (56544120).

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

30001248 is a wasteful number, since it uses less digits than its factorization.

30001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 30001248 is about 5477.3395001588. The cubic root of 30001248 is about 310.7275592314.

The spelling of 30001248 in words is "thirty million, one thousand, two hundred forty-eight".