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11113320 = 2335372503
BaseRepresentation
bin101010011001…
…001101101000
3202220121121110
4222121031220
510321111240
61034110320
7163314231
oct52311550
922817543
1011113320
116300669
12387b3a0
1323c153a
141694088
15e97c80
hexa99368

11113320 has 64 divisors (see below), whose sum is σ = 34254720. Its totient is φ = 2882304.

The previous prime is 11113273. The next prime is 11113321. The reversal of 11113320 is 2331111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11113296 and 11113305.

It is not an unprimeable number, because it can be changed into a prime (11113321) 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 15 ways as a sum of consecutive naturals, for example, 3189 + ... + 5691.

It is an arithmetic number, because the mean of its divisors is an integer number (535230).

Almost surely, 211113320 is an apocalyptic number.

11113320 is a gapful number since it is divisible by the number (10) 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 11113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17127360).

11113320 is an abundant number, since it is smaller than the sum of its proper divisors (23141400).

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

11113320 is a wasteful number, since it uses less digits than its factorization.

11113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 11113320 is about 3333.6646502010. The cubic root of 11113320 is about 223.1591027443.

Adding to 11113320 its reverse (2331111), we get a palindrome (13444431).

It can be divided in two parts, 111 and 13320, that added together give a palindrome (13431).

The spelling of 11113320 in words is "eleven million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 2503 4440 5006 7509 10012 12515 15018 20024 25030 30036 37545 50060 60072 75090 92611 100120 150180 185222 277833 300360 370444 463055 555666 740888 926110 1111332 1389165 1852220 2222664 2778330 3704440 5556660 11113320