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11295216 = 243278439
BaseRepresentation
bin101011000101…
…100111110000
3210020212010100
4223011213300
510342421331
61042032400
7165002442
oct53054760
923225110
1011295216
116415299
123948700
13245627a
141700492
15ed1ae6
hexac59f0

11295216 has 30 divisors (see below), whose sum is σ = 31611320. Its totient is φ = 3765024.

The previous prime is 11295211. The next prime is 11295233. The reversal of 11295216 is 61259211.

11295216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11295216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11295211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39076 + ... + 39363.

Almost surely, 211295216 is an apocalyptic number.

11295216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11295216 is an abundant number, since it is smaller than the sum of its proper divisors (20316104).

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

11295216 is a wasteful number, since it uses less digits than its factorization.

11295216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78453 (or 78444 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 11295216 is about 3360.8356103803. The cubic root of 11295216 is about 224.3700304090.

It can be divided in two parts, 11295 and 216, that added together give a palindrome (11511).

The spelling of 11295216 in words is "eleven million, two hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 78439 156878 235317 313756 470634 627512 705951 941268 1255024 1411902 1882536 2823804 3765072 5647608 11295216