15380000 has 60 divisors (see below), whose sum is σ = 37886310. Its totient is φ = 6144000.

The previous prime is 15379993. The next prime is 15380003. The reversal of 15380000 is 8351.

It can be written as a sum of positive squares in 5 ways, for example, as 44944 + 15335056 = 212^2 + 3916^2 .

It is not an unprimeable number, because it can be changed into a prime (15380003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19616 + ... + 20384.

Almost surely, 2^15380000 is an apocalyptic number.

15380000 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 15380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943155).

15380000 is an abundant number, since it is smaller than the sum of its proper divisors (22506310).

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

15380000 is an frugal number, since it uses more digits than its factorization.

15380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 15380000 is about 3921.7343102255. The cubic root of 15380000 is about 248.6864437005.

Adding to 15380000 its reverse (8351), we get a palindrome (15388351).

The spelling of 15380000 in words is "fifteen million, three hundred eighty thousand".