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11195616 = 253139839
BaseRepresentation
bin101010101101…
…010011100000
3210001210111110
4222231103200
510331224431
61035543320
7164106165
oct52552340
923053443
1011195616
116357483
1238bab40
13241cb33
1416b606c
15eb2346
hexaad4e0

11195616 has 48 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 3700608.

The previous prime is 11195603. The next prime is 11195627. The reversal of 11195616 is 61659111.

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

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, 12925 + ... + 13763.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 211195616 is an apocalyptic number.

11195616 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 11195616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

11195616 is an abundant number, since it is smaller than the sum of its proper divisors (18439584).

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

11195616 is a wasteful number, since it uses less digits than its factorization.

11195616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 983 counting only the distinct ones).

The product of its digits is 1620, while the sum is 30.

The square root of 11195616 is about 3345.9850567509. The cubic root of 11195616 is about 223.7085921522.

It can be divided in two parts, 11195 and 616, that added together give a palindrome (11811).

The spelling of 11195616 in words is "eleven million, one hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 839 1112 1668 1678 2224 2517 3336 3356 4448 5034 6672 6712 10068 13344 13424 20136 26848 40272 80544 116621 233242 349863 466484 699726 932968 1399452 1865936 2798904 3731872 5597808 11195616