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11293312 = 27831063
BaseRepresentation
bin101011000101…
…001010000000
3210020202111211
4223011022000
510342341222
61042015504
7164664052
oct53051200
923222454
1011293312
116413918
123947594
132455444
1416dd8d2
15ed1277
hexac5280

11293312 has 32 divisors (see below), whose sum is σ = 22790880. Its totient is φ = 5573376.

The previous prime is 11293309. The next prime is 11293313. The reversal of 11293312 is 21339211.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11293313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10093 + ... + 11155.

It is an arithmetic number, because the mean of its divisors is an integer number (712215).

Almost surely, 211293312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11395440).

11293312 is an abundant number, since it is smaller than the sum of its proper divisors (11497568).

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

11293312 is an equidigital number, since it uses as much as digits as its factorization.

11293312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 11293312 is about 3360.5523355544. The cubic root of 11293312 is about 224.3574225774.

The spelling of 11293312 in words is "eleven million, two hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1063 1328 2126 2656 4252 5312 8504 10624 17008 34016 68032 88229 136064 176458 352916 705832 1411664 2823328 5646656 11293312