10514920 has 64 divisors (see below), whose sum is σ = 25920720. Its totient is φ = 3815424.

The previous prime is 10514909. The next prime is 10514927. The reversal of 10514920 is 2941501.

It can be written as a sum of positive squares in 8 ways, for example, as 1406596 + 9108324 = 1186^2 + 3018^2 .

It is a super-2 number, since 2×10514920² = 221127085212800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10514891 and 10514900.

It is not an unprimeable number, because it can be changed into a prime (10514927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37822 + ... + 38098.

Almost surely, 2^10514920 is an apocalyptic number.

10514920 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 10514920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960360).

10514920 is an abundant number, since it is smaller than the sum of its proper divisors (15405800).

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

10514920 is a wasteful number, since it uses less digits than its factorization.

10514920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 10514920 is about 3242.6717379346. The cubic root of 10514920 is about 219.0796260428.

The spelling of 10514920 in words is "ten million, five hundred fourteen thousand, nine hundred twenty".