10714200 has 96 divisors (see below), whose sum is σ = 37973760. Its totient is φ = 2448000.

The previous prime is 10714177. The next prime is 10714211. The reversal of 10714200 is 241701.

10714200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10714200² = 229588163280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10714200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925 + ... + 5475.

It is an arithmetic number, because the mean of its divisors is an integer number (395560).

Almost surely, 2^10714200 is an apocalyptic number.

10714200 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 10714200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986880).

10714200 is an abundant number, since it is smaller than the sum of its proper divisors (27259560).

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

10714200 is a wasteful number, since it uses less digits than its factorization.

10714200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10714200 is about 3273.2552604403. The cubic root of 10714200 is about 220.4549812711.

Adding to 10714200 its reverse (241701), we get a palindrome (10955901).

The spelling of 10714200 in words is "ten million, seven hundred fourteen thousand, two hundred".