30506700 has 144 divisors (see below), whose sum is σ = 102771200. Its totient is φ = 6842880.

The previous prime is 30506699. The next prime is 30506701. The reversal of 30506700 is 760503.

It is an interprime number because it is at equal distance from previous prime (30506699) and next prime (30506701).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30506701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153201 + ... + 153399.

Almost surely, 2^30506700 is an apocalyptic number.

30506700 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 30506700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51385600).

30506700 is an abundant number, since it is smaller than the sum of its proper divisors (72264500).

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

30506700 is a wasteful number, since it uses less digits than its factorization.

30506700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 30506700 is about 5523.2870647831. The cubic root of 30506700 is about 312.4628649207.

The spelling of 30506700 in words is "thirty million, five hundred six thousand, seven hundred".