10147520 has 56 divisors (see below), whose sum is σ = 25450800. Its totient is φ = 3843072.

The previous prime is 10147519. The next prime is 10147523. The reversal of 10147520 is 2574101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10147492 and 10147501.

It is not an unprimeable number, because it can be changed into a prime (10147523) 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 7 ways as a sum of consecutive naturals, for example, 5246 + ... + 6914.

Almost surely, 2^10147520 is an apocalyptic number.

10147520 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 10147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725400).

10147520 is an abundant number, since it is smaller than the sum of its proper divisors (15303280).

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

10147520 is a wasteful number, since it uses less digits than its factorization.

10147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 10147520 is about 3185.5172264485. The cubic root of 10147520 is about 216.4977091747.

The spelling of 10147520 in words is "ten million, one hundred forty-seven thousand, five hundred twenty".