15283920 has 80 divisors (see below), whose sum is σ = 48514752. Its totient is φ = 3978240.

The previous prime is 15283907. The next prime is 15283927. The reversal of 15283920 is 2938251.

It is a happy number.

15283920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15283927) 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, 9580 + ... + 11060.

Almost surely, 2^15283920 is an apocalyptic number.

15283920 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 15283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24257376).

15283920 is an abundant number, since it is smaller than the sum of its proper divisors (33230832).

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

15283920 is a wasteful number, since it uses less digits than its factorization.

15283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 15283920 is about 3909.4654366038. The cubic root of 15283920 is about 248.1675073687.

The spelling of 15283920 in words is "fifteen million, two hundred eighty-three thousand, nine hundred twenty".