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11199312 = 243277773
BaseRepresentation
bin101010101110…
…001101010000
3210001222120100
4222232031100
510331334222
61040012400
7164123025
oct52561520
923058510
1011199312
11635a233
123901100
132421717
1416b754c
15eb34ac
hexaae350

11199312 has 30 divisors (see below), whose sum is σ = 31342922. Its totient is φ = 3733056.

The previous prime is 11199269. The next prime is 11199313. The reversal of 11199312 is 21399111.

It can be written as a sum of positive squares in only one way, i.e., 7420176 + 3779136 = 2724^2 + 1944^2 .

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 (11199313) 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 5 ways as a sum of consecutive naturals, for example, 38743 + ... + 39030.

Almost surely, 211199312 is an apocalyptic number.

11199312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11199312 is an abundant number, since it is smaller than the sum of its proper divisors (20143610).

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

11199312 is a wasteful number, since it uses less digits than its factorization.

11199312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77787 (or 77778 counting only the distinct ones).

The product of its digits is 486, while the sum is 27.

The square root of 11199312 is about 3346.5373148973. The cubic root of 11199312 is about 223.7332070249.

It can be divided in two parts, 11199 and 312, that added together give a palindrome (11511).

The spelling of 11199312 in words is "eleven million, one hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 77773 155546 233319 311092 466638 622184 699957 933276 1244368 1399914 1866552 2799828 3733104 5599656 11199312