10514790 has 192 divisors, whose sum is σ = 34594560. Its totient is φ = 2177280.

The previous prime is 10514743. The next prime is 10514813. The reversal of 10514790 is 9741501.

10514790 = 611² + 612² + ... + 637².

It is a super-2 number, since 2×10514790² = 221121617488200, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244509 + ... + 244551.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 2^10514790 is an apocalyptic number.

10514790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10514790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

10514790 is an abundant number, since it is smaller than the sum of its proper divisors (24079770).

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

10514790 is a wasteful number, since it uses less digits than its factorization.

10514790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10514790 is about 3242.6516926738. The cubic root of 10514790 is about 219.0787231838.

The spelling of 10514790 in words is "ten million, five hundred fourteen thousand, seven hundred ninety".