10277740 has 72 divisors (see below), whose sum is σ = 24667776. Its totient is φ = 3590400.

The previous prime is 10277737. The next prime is 10277779. The reversal of 10277740 is 4777201.

10277740 = T₁₈₉ + T₁₉₀ + ... + T₄₀₈.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10277699 and 10277708.

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 23 ways as a sum of consecutive naturals, for example, 74952 + ... + 75088.

It is an arithmetic number, because the mean of its divisors is an integer number (342608).

Almost surely, 2^10277740 is an apocalyptic number.

10277740 is a gapful number since it is divisible by the number (10) 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 10277740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12333888).

10277740 is an abundant number, since it is smaller than the sum of its proper divisors (14390036).

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

10277740 is a wasteful number, since it uses less digits than its factorization.

10277740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 10277740 is about 3205.8914516870. The cubic root of 10277740 is about 217.4198586145.

The spelling of 10277740 in words is "ten million, two hundred seventy-seven thousand, seven hundred forty".