10729540 has 24 divisors (see below), whose sum is σ = 22843800. Its totient is φ = 4232448.

The previous prime is 10729529. The next prime is 10729559. The reversal of 10729540 is 4592701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2050624 + 8678916 = 1432^2 + 2946^2 .

It is a super-2 number, since 2×10729540² = 230246057223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10729499 and 10729508.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2215 + ... + 5134.

It is an arithmetic number, because the mean of its divisors is an integer number (951825).

Almost surely, 2^10729540 is an apocalyptic number.

10729540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10729540 is an abundant number, since it is smaller than the sum of its proper divisors (12114260).

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

10729540 is a wasteful number, since it uses less digits than its factorization.

10729540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 10729540 is about 3275.5976553905. The cubic root of 10729540 is about 220.5601428556.

The spelling of 10729540 in words is "ten million, seven hundred twenty-nine thousand, five hundred forty".