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11789984 = 252383193
BaseRepresentation
bin101100111110…
…011010100000
3211011222211002
4230332122200
511004234414
61100411132
7202133063
oct54763240
924158732
1011789984
116722a98
123b46aa8
13259a52b
1417cc8da
15107d4de
hexb3e6a0

11789984 has 48 divisors (see below), whose sum is σ = 24639552. Its totient is φ = 5541888.

The previous prime is 11789983. The next prime is 11790017. The reversal of 11789984 is 48998711.

11789984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11789983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60992 + ... + 61184.

It is an arithmetic number, because the mean of its divisors is an integer number (513324).

Almost surely, 211789984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11789984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319776).

11789984 is an abundant number, since it is smaller than the sum of its proper divisors (12849568).

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

11789984 is a wasteful number, since it uses less digits than its factorization.

11789984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its digits is 145152, while the sum is 47.

The square root of 11789984 is about 3433.6546127996. The cubic root of 11789984 is about 227.5993785522.

The spelling of 11789984 in words is "eleven million, seven hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 83 92 166 184 193 332 368 386 664 736 772 1328 1544 1909 2656 3088 3818 4439 6176 7636 8878 15272 16019 17756 30544 32038 35512 61088 64076 71024 128152 142048 256304 368437 512608 736874 1473748 2947496 5894992 11789984