10513984 has 28 divisors (see below), whose sum is σ = 22470364. Its totient is φ = 4852224.

The previous prime is 10513969. The next prime is 10514003. The reversal of 10513984 is 48931501.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 9241600 = 1128^2 + 3040^2 .

It is a super-2 number, since 2×10513984² = 221087719104512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5487 + ... + 7150.

It is an arithmetic number, because the mean of its divisors is an integer number (802513).

Almost surely, 2^10513984 is an apocalyptic number.

It is an amenable number.

10513984 is an abundant number, since it is smaller than the sum of its proper divisors (11956380).

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

10513984 is a wasteful number, since it uses less digits than its factorization.

10513984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12662 (or 12652 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 10513984 is about 3242.5274092905. The cubic root of 10513984 is about 219.0731252923.

The spelling of 10513984 in words is "ten million, five hundred thirteen thousand, nine hundred eighty-four".