5114000 has 40 divisors (see below), whose sum is σ = 12370488. Its totient is φ = 2044800.

The previous prime is 5113993. The next prime is 5114003. The reversal of 5114000 is 4115.

It can be written as a sum of positive squares in 4 ways, for example, as 309136 + 4804864 = 556^2 + 2192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5114003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722 + ... + 3278.

Almost surely, 2^5114000 is an apocalyptic number.

5114000 is a gapful number since it is divisible by the number (50) 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 5114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185244).

5114000 is an abundant number, since it is smaller than the sum of its proper divisors (7256488).

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

5114000 is a wasteful number, since it uses less digits than its factorization.

5114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 5114000 is about 2261.4154859291. The cubic root of 5114000 is about 172.2874228021.

Adding to 5114000 its reverse (4115), we get a palindrome (5118115).

The spelling of 5114000 in words is "five million, one hundred fourteen thousand".