10267380 has 36 divisors (see below), whose sum is σ = 31144932. Its totient is φ = 2737920.

The previous prime is 10267373. The next prime is 10267403. The reversal of 10267380 is 8376201.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 6441444 = 1956^2 + 2538^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28341 + ... + 28700.

It is an arithmetic number, because the mean of its divisors is an integer number (865137).

Almost surely, 2^10267380 is an apocalyptic number.

10267380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10267380 is an abundant number, since it is smaller than the sum of its proper divisors (20877552).

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

10267380 is a wasteful number, since it uses less digits than its factorization.

10267380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57056 (or 57051 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10267380 is about 3204.2752690741. The cubic root of 10267380 is about 217.3467807137.

The spelling of 10267380 in words is "ten million, two hundred sixty-seven thousand, three hundred eighty".