10017280 has 160 divisors (see below), whose sum is σ = 30248064. Its totient is φ = 3096576.

The previous prime is 10017263. The next prime is 10017289. The reversal of 10017280 is 8271001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10017289) 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, 232939 + ... + 232981.

Almost surely, 2^10017280 is an apocalyptic number.

10017280 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 10017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124032).

10017280 is an abundant number, since it is smaller than the sum of its proper divisors (20230784).

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

10017280 is an equidigital number, since it uses as much as digits as its factorization.

10017280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 10017280 is about 3165.0086887716. The cubic root of 10017280 is about 215.5674930309.

Adding to 10017280 its reverse (8271001), we get a palindrome (18288281).

It can be divided in two parts, 1001 and 7280, that added together give a square (8281 = 91²).

The spelling of 10017280 in words is "ten million, seventeen thousand, two hundred eighty".