10307232 has 72 divisors (see below), whose sum is σ = 31577364. Its totient is φ = 3170304.

The previous prime is 10307191. The next prime is 10307239. The reversal of 10307232 is 23270301.

It can be written as a sum of positive squares in 2 ways, for example, as 10265616 + 41616 = 3204^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10307239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2368 + ... + 5120.

Almost surely, 2^10307232 is an apocalyptic number.

10307232 is a gapful number since it is divisible by the number (12) 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 10307232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788682).

10307232 is an abundant number, since it is smaller than the sum of its proper divisors (21270132).

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

10307232 is a wasteful number, since it uses less digits than its factorization.

10307232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10307232 is about 3210.4878134016. The cubic root of 10307232 is about 217.6276222864.

Adding to 10307232 its reverse (23270301), we get a palindrome (33577533).

The spelling of 10307232 in words is "ten million, three hundred seven thousand, two hundred thirty-two".