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11918984 = 2371121759
BaseRepresentation
bin101101011101…
…111010001000
3211102112202212
4231131322020
511022401414
61103244252
7203211140
oct55357210
924375685
1011918984
116800a00
123ba9688
13261416c
141823920
1510a683e
hexb5de88

11918984 has 48 divisors (see below), whose sum is σ = 28089600. Its totient is φ = 4641120.

The previous prime is 11918981. The next prime is 11918993. The reversal of 11918984 is 48981911.

It is not an unprimeable number, because it can be changed into a prime (11918981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5897 + ... + 7655.

It is an arithmetic number, because the mean of its divisors is an integer number (585200).

Almost surely, 211918984 is an apocalyptic number.

11918984 is a gapful number since it is divisible by the number (14) 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 11918984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14044800).

11918984 is an abundant number, since it is smaller than the sum of its proper divisors (16170616).

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

11918984 is a wasteful number, since it uses less digits than its factorization.

11918984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1779 counting only the distinct ones).

The product of its digits is 20736, while the sum is 41.

The square root of 11918984 is about 3452.3881589416. The cubic root of 11918984 is about 228.4264614995.

The spelling of 11918984 in words is "eleven million, nine hundred eighteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 1759 3388 3518 6776 7036 12313 14072 19349 24626 38698 49252 77396 98504 135443 154792 212839 270886 425678 541772 851356 1083544 1489873 1702712 2979746 5959492 11918984