10513440 has 216 divisors, whose sum is σ = 42014700. Its totient is φ = 2386944.

The previous prime is 10513427. The next prime is 10513453. The reversal of 10513440 is 4431501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10513427) and next prime (10513453).

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 853776 = 3108^2 + 924^2 .

It is a super-2 number, since 2×10513440² = 221064841267200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70486 + ... + 70634.

Almost surely, 2^10513440 is an apocalyptic number.

10513440 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 10513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21007350).

10513440 is an abundant number, since it is smaller than the sum of its proper divisors (31501260).

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

10513440 is a wasteful number, since it uses less digits than its factorization.

10513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

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

The square root of 10513440 is about 3242.4435230240. The cubic root of 10513440 is about 219.0693469010.

Adding to 10513440 its reverse (4431501), we get a palindrome (14944941).

The spelling of 10513440 in words is "ten million, five hundred thirteen thousand, four hundred forty".