15113280 has 224 divisors, whose sum is σ = 59399424. Its totient is φ = 3170304.

The previous prime is 15113269. The next prime is 15113281. The reversal of 15113280 is 8231151.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×15113280² = 456822464716800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15113281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87274 + ... + 87446.

It is an arithmetic number, because the mean of its divisors is an integer number (265176).

Almost surely, 2^15113280 is an apocalyptic number.

15113280 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 15113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29699712).

15113280 is an abundant number, since it is smaller than the sum of its proper divisors (44286144).

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

15113280 is a wasteful number, since it uses less digits than its factorization.

15113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 15113280 is about 3887.5802242526. The cubic root of 15113280 is about 247.2404789129.

It can be divided in two parts, 151 and 13280, that added together give a palindrome (13431).

The spelling of 15113280 in words is "fifteen million, one hundred thirteen thousand, two hundred eighty".