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10506240 = 21233519

10506240 has 208 divisors, whose sum is σ = 39316800. Its totient is φ = 2654208.

The previous prime is 10506227. The next prime is 10506247. The reversal of 10506240 is 4260501.

10506240 = T233 + T234 + ... + T422.

It is a happy number.

It is a super-2 number, since 2×105062402 = 220762157875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506247) 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, 552951 + ... + 552969.

Almost surely, 210506240 is an apocalyptic number.

10506240 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 10506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658400).

10506240 is an abundant number, since it is smaller than the sum of its proper divisors (28810560).

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

10506240 is an equidigital number, since it uses as much as digits as its factorization.

10506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10506240 is about 3241.3330590978. Note that the first 3 decimals coincide. The cubic root of 10506240 is about 219.0193264986.

Adding to 10506240 its reverse (4260501), we get a palindrome (14766741).

The spelling of 10506240 in words is "ten million, five hundred six thousand, two hundred forty".