30726900 has 54 divisors (see below), whose sum is σ = 96314582. Its totient is φ = 8193600.

The previous prime is 30726887. The next prime is 30726907. The reversal of 30726900 is 962703.

It can be written as a sum of positive squares in 3 ways, for example, as 1954404 + 28772496 = 1398^2 + 5364^2 .

It is a super-2 number, since 2×30726900² = 1888284767220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30726907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16171 + ... + 17970.

Almost surely, 2^30726900 is an apocalyptic number.

30726900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30726900 is an abundant number, since it is smaller than the sum of its proper divisors (65587682).

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

30726900 is a wasteful number, since it uses less digits than its factorization.

30726900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34161 (or 34151 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 30726900 is about 5543.1850050310. The cubic root of 30726900 is about 313.2128579641.

It can be divided in two parts, 30726 and 900, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 30726900 in words is "thirty million, seven hundred twenty-six thousand, nine hundred".