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11352016 = 241354577
BaseRepresentation
bin101011010011…
…011111010000
3210100202001001
4223103133100
510401231031
61043151344
7165330154
oct53233720
923322031
1011352016
116453a35
123975554
132476090
141717064
15ee3861
hexad37d0

11352016 has 20 divisors (see below), whose sum is σ = 23686852. Its totient is φ = 5239296.

The previous prime is 11351999. The next prime is 11352031. The reversal of 11352016 is 61025311.

It can be written as a sum of positive squares in 2 ways, for example, as 3534400 + 7817616 = 1880^2 + 2796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11351984 and 11352002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27081 + ... + 27496.

Almost surely, 211352016 is an apocalyptic number.

11352016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11352016 is an abundant number, since it is smaller than the sum of its proper divisors (12334836).

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

11352016 is a wasteful number, since it uses less digits than its factorization.

11352016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54598 (or 54592 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 11352016 is about 3369.2752929970. The cubic root of 11352016 is about 224.7454965952.

Adding to 11352016 its reverse (61025311), we get a palindrome (72377327).

The spelling of 11352016 in words is "eleven million, three hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 54577 109154 218308 436616 709501 873232 1419002 2838004 5676008 11352016