10029780 has 36 divisors (see below), whose sum is σ = 30424212. Its totient is φ = 2674560.

The previous prime is 10029751. The next prime is 10029787. The reversal of 10029780 is 8792001.

It can be written as a sum of positive squares in 2 ways, for example, as 7851204 + 2178576 = 2802^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10029787) 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, 27681 + ... + 28040.

It is an arithmetic number, because the mean of its divisors is an integer number (845117).

Almost surely, 2^10029780 is an apocalyptic number.

10029780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10029780 is an abundant number, since it is smaller than the sum of its proper divisors (20394432).

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

10029780 is a wasteful number, since it uses less digits than its factorization.

10029780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55736 (or 55731 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10029780 is about 3166.9827912384. The cubic root of 10029780 is about 215.6571206087.

The spelling of 10029780 in words is "ten million, twenty-nine thousand, seven hundred eighty".