15380 has 12 divisors (see below), whose sum is σ = 32340. Its totient is φ = 6144.

The previous prime is 15377. The next prime is 15383. The reversal of 15380 is 8351.

It is an interprime number because it is at equal distance from previous prime (15377) and next prime (15383).

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 9604 = 76^2 + 98^2 .

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15380.

It is not an unprimeable number, because it can be changed into a prime (15383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 365 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (2695).

2¹⁵³⁸⁰ is an apocalyptic number.

15380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15380 is an abundant number, since it is smaller than the sum of its proper divisors (16960).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170).

15380 is a wasteful number, since it uses less digits than its factorization.

15380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

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

The square root of 15380 is about 124.0161279834. The cubic root of 15380 is about 24.8686443700.

The spelling of 15380 in words is "fifteen thousand, three hundred eighty".