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11116416 = 27328949
BaseRepresentation
bin101010011001…
…111110000000
3202220202212010
4222121332000
510321211131
61034132520
7163326243
oct52317600
922822763
1011116416
116302a23
123881140
1323c2a7c
14169525a
15e98b46
hexa99f80

11116416 has 32 divisors (see below), whose sum is σ = 29529000. Its totient is φ = 3705344.

The previous prime is 11116381. The next prime is 11116421. The reversal of 11116416 is 61461111.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a junction number, because it is equal to n+sod(n) for n = 11116392 and 11116401.

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 3 ways as a sum of consecutive naturals, for example, 14091 + ... + 14858.

Almost surely, 211116416 is an apocalyptic number.

11116416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11116416 is an abundant number, since it is smaller than the sum of its proper divisors (18412584).

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

11116416 is an equidigital number, since it uses as much as digits as its factorization.

11116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28966 (or 28954 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 11116416 is about 3334.1289717106. The cubic root of 11116416 is about 223.1798237180.

Adding to 11116416 its reverse (61461111), we get a palindrome (72577527).

The spelling of 11116416 in words is "eleven million, one hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 28949 57898 86847 115796 173694 231592 347388 463184 694776 926368 1389552 1852736 2779104 3705472 5558208 11116416