11270952 has 192 divisors, whose sum is σ = 40435200. Its totient is φ = 2747520.

The previous prime is 11270923. The next prime is 11270953. The reversal of 11270952 is 25907211.

11270952 = T₃₀₃ + T₃₀₄ + ... + T₄₅₆.

It is not an unprimeable number, because it can be changed into a prime (11270953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105283 + ... + 105389.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

Almost surely, 2^11270952 is an apocalyptic number.

11270952 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 11270952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

11270952 is an abundant number, since it is smaller than the sum of its proper divisors (29164248).

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

11270952 is a wasteful number, since it uses less digits than its factorization.

11270952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11270952 is about 3357.2238531263. The cubic root of 11270952 is about 224.2092538654.

The spelling of 11270952 in words is "eleven million, two hundred seventy thousand, nine hundred fifty-two".