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11216496 = 243534409
BaseRepresentation
bin101010110010…
…011001110000
3210002212010210
4222302121300
510332411441
61040224120
7164224104
oct52623160
923085123
1011216496
116371135
12390b040
1324294a5
1416bd904
15eb8616
hexab2670

11216496 has 40 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 3667456.

The previous prime is 11216477. The next prime is 11216501. The reversal of 11216496 is 69461211.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 340 + ... + 4748.

It is an arithmetic number, because the mean of its divisors is an integer number (738234).

Almost surely, 211216496 is an apocalyptic number.

11216496 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 11216496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

11216496 is an abundant number, since it is smaller than the sum of its proper divisors (18312864).

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

11216496 is a wasteful number, since it uses less digits than its factorization.

11216496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4467 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 11216496 is about 3349.1037607097. The cubic root of 11216496 is about 223.8475791318.

The spelling of 11216496 in words is "eleven million, two hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 4409 8818 13227 17636 26454 35272 52908 70544 105816 211632 233677 467354 701031 934708 1402062 1869416 2804124 3738832 5608248 11216496