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11435216 = 241324229
BaseRepresentation
bin101011100111…
…110011010000
3210111222011112
4223213303100
510411411331
61045032452
7166124552
oct53476320
923458145
1011435216
1165004a1
1239b5728
1324a4c00
1417394d2
15100d32b
hexae7cd0

11435216 has 30 divisors (see below), whose sum is σ = 23996790. Its totient is φ = 5276544.

The previous prime is 11435213. The next prime is 11435219. The reversal of 11435216 is 61253411.

It is an interprime number because it is at equal distance from previous prime (11435213) and next prime (11435219).

It can be written as a sum of positive squares in 3 ways, for example, as 1449616 + 9985600 = 1204^2 + 3160^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11435191 and 11435200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11435213) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 590 + ... + 4818.

It is an arithmetic number, because the mean of its divisors is an integer number (799893).

Almost surely, 211435216 is an apocalyptic number.

11435216 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 11435216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11998395).

11435216 is an abundant number, since it is smaller than the sum of its proper divisors (12561574).

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

11435216 is a wasteful number, since it uses less digits than its factorization.

11435216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4244 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 11435216 is about 3381.5996214809. The cubic root of 11435216 is about 225.2932209993.

Adding to 11435216 its reverse (61253411), we get a palindrome (72688627).

The spelling of 11435216 in words is "eleven million, four hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 4229 8458 16916 33832 54977 67664 109954 219908 439816 714701 879632 1429402 2858804 5717608 11435216