10206240 has 96 divisors (see below), whose sum is σ = 35090496. Its totient is φ = 2472960.

The previous prime is 10206199. The next prime is 10206257. The reversal of 10206240 is 4260201.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4314 + ... + 6246.

It is an arithmetic number, because the mean of its divisors is an integer number (365526).

Almost surely, 2^10206240 is an apocalyptic number.

10206240 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 10206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545248).

10206240 is an abundant number, since it is smaller than the sum of its proper divisors (24884256).

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

10206240 is a wasteful number, since it uses less digits than its factorization.

10206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10206240 is about 3194.7206450643. The cubic root of 10206240 is about 216.9145040392.

Adding to 10206240 its reverse (4260201), we get a palindrome (14466441).

It can be divided in two parts, 1020 and 6240, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 10206240 in words is "ten million, two hundred six thousand, two hundred forty".