10253952 has 160 divisors (see below), whose sum is σ = 32582880. Its totient is φ = 3193344.

The previous prime is 10253927. The next prime is 10253987. The reversal of 10253952 is 25935201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238443 + ... + 238485.

It is an arithmetic number, because the mean of its divisors is an integer number (203643).

Almost surely, 2^10253952 is an apocalyptic number.

10253952 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 10253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291440).

10253952 is an abundant number, since it is smaller than the sum of its proper divisors (22328928).

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

10253952 is an equidigital number, since it uses as much as digits as its factorization.

10253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10253952 is about 3202.1792579429. The cubic root of 10253952 is about 217.2519884099.

The spelling of 10253952 in words is "ten million, two hundred fifty-three thousand, nine hundred fifty-two".