15130416 has 80 divisors (see below), whose sum is σ = 45632000. Its totient is φ = 4318272.

The previous prime is 15130411. The next prime is 15130421. The reversal of 15130416 is 61403151.

It is an interprime number because it is at equal distance from previous prime (15130411) and next prime (15130421).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 15130392 and 15130401.

It is not an unprimeable number, because it can be changed into a prime (15130411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16005 + ... + 16923.

It is an arithmetic number, because the mean of its divisors is an integer number (570400).

Almost surely, 2^15130416 is an apocalyptic number.

15130416 is a gapful number since it is divisible by the number (16) 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 15130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22816000).

15130416 is an abundant number, since it is smaller than the sum of its proper divisors (30501584).

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

15130416 is an equidigital number, since it uses as much as digits as its factorization.

15130416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 15130416 is about 3889.7835415354. The cubic root of 15130416 is about 247.3338871077. Note that the first 3 decimals are identical.

Adding to 15130416 its reverse (61403151), we get a palindrome (76533567).

The spelling of 15130416 in words is "fifteen million, one hundred thirty thousand, four hundred sixteen".