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11416212 = 2232337941
BaseRepresentation
bin101011100011…
…001010010100
3210111000002200
4223203022110
510410304322
61044404500
7166015263
oct53431224
923430080
1011416212
116498195
1239a6730
132499372
1417325da
1510078ac
hexae3294

11416212 has 36 divisors (see below), whose sum is σ = 28974036. Its totient is φ = 3790080.

The previous prime is 11416201. The next prime is 11416219. The reversal of 11416212 is 21261411.

11416212 is a `hidden beast` number, since 1 + 1 + 41 + 621 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5035536 + 6380676 = 2244^2 + 2526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11416219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11662 + ... + 12602.

Almost surely, 211416212 is an apocalyptic number.

11416212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11416212 is an abundant number, since it is smaller than the sum of its proper divisors (17557824).

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

11416212 is a wasteful number, since it uses less digits than its factorization.

11416212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1283 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 11416212 is about 3378.7885402907. The cubic root of 11416212 is about 225.1683480823.

Adding to 11416212 its reverse (21261411), we get a palindrome (32677623).

It can be divided in two parts, 11416 and 212, that added together give a triangular number (11628 = T152).

The spelling of 11416212 in words is "eleven million, four hundred sixteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 337 674 941 1011 1348 1882 2022 2823 3033 3764 4044 5646 6066 8469 11292 12132 16938 33876 317117 634234 951351 1268468 1902702 2854053 3805404 5708106 11416212