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11055216 = 2431092113
BaseRepresentation
bin101010001011…
…000001110000
3202210122220110
4222023001300
510312231331
61032541320
7162652644
oct52130160
922718813
1011055216
116270a47
123851840
1323a0c63
14167ac24
15e85946
hexa8b070

11055216 has 40 divisors (see below), whose sum is σ = 28834960. Its totient is φ = 3649536.

The previous prime is 11055211. The next prime is 11055229. The reversal of 11055216 is 61255011.

It is a junction number, because it is equal to n+sod(n) for n = 11055192 and 11055201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4176 + ... + 6288.

It is an arithmetic number, because the mean of its divisors is an integer number (720874).

Almost surely, 211055216 is an apocalyptic number.

11055216 is a gapful number since it is divisible by the number (16) 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 11055216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417480).

11055216 is an abundant number, since it is smaller than the sum of its proper divisors (17779744).

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

11055216 is a wasteful number, since it uses less digits than its factorization.

11055216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 11055216 is about 3324.9384956718. The cubic root of 11055216 is about 222.7695071979.

The spelling of 11055216 in words is "eleven million, fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2113 2616 4226 5232 6339 8452 12678 16904 25356 33808 50712 101424 230317 460634 690951 921268 1381902 1842536 2763804 3685072 5527608 11055216