15120420 has 144 divisors (see below), whose sum is σ = 50944320. Its totient is φ = 3338496.

The previous prime is 15120419. The next prime is 15120421. The reversal of 15120420 is 2402151.

15120420 = T₁₆₀ + T₁₆₁ + ... + T₄₅₅.

It is an interprime number because it is at equal distance from previous prime (15120419) and next prime (15120421).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 15120420.

It is not an unprimeable number, because it can be changed into a prime (15120421) 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 47 ways as a sum of consecutive naturals, for example, 108711 + ... + 108849.

It is an arithmetic number, because the mean of its divisors is an integer number (353780).

Almost surely, 2^15120420 is an apocalyptic number.

15120420 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 15120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25472160).

15120420 is an abundant number, since it is smaller than the sum of its proper divisors (35823900).

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

15120420 is a wasteful number, since it uses less digits than its factorization.

15120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 15120420 is about 3888.4984248422. The cubic root of 15120420 is about 247.2794075703.

Adding to 15120420 its reverse (2402151), we get a palindrome (17522571).

It can be divided in two parts, 15120 and 420, that multiplied together give a square (6350400 = 2520²).

The spelling of 15120420 in words is "fifteen million, one hundred twenty thousand, four hundred twenty".