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11116320 = 253523159
BaseRepresentation
bin101010011001…
…111100100000
3202220202201120
4222121330200
510321210240
61034132240
7163326045
oct52317440
922822646
1011116320
116302946
123881080
1323c2a07
1416951cc
15e98ad0
hexa99f20

11116320 has 48 divisors (see below), whose sum is σ = 35017920. Its totient is φ = 2964224.

The previous prime is 11116307. The next prime is 11116333. The reversal of 11116320 is 2361111.

It is an interprime number because it is at equal distance from previous prime (11116307) and next prime (11116333).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11116320.

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, 11100 + ... + 12059.

It is an arithmetic number, because the mean of its divisors is an integer number (729540).

Almost surely, 211116320 is an apocalyptic number.

11116320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11116320 is an abundant number, since it is smaller than the sum of its proper divisors (23901600).

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

11116320 is a wasteful number, since it uses less digits than its factorization.

11116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23177 (or 23169 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11116320 is about 3334.1145751159. The cubic root of 11116320 is about 223.1791812650.

Adding to 11116320 its reverse (2361111), we get a palindrome (13477431).

The spelling of 11116320 in words is "eleven million, one hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 23159 46318 69477 92636 115795 138954 185272 231590 277908 347385 370544 463180 555816 694770 741088 926360 1111632 1389540 1852720 2223264 2779080 3705440 5558160 11116320