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11471984 = 2431101229
BaseRepresentation
bin101011110000…
…110001110000
3210120211121022
4223300301300
510414100414
61045515012
7166340006
oct53606160
923524538
1011471984
116526087
123a12a68
1324b8874
141748a76
15101918e
hexaf0c70

11471984 has 40 divisors (see below), whose sum is σ = 23272320. Its totient is φ = 5472000.

The previous prime is 11471959. The next prime is 11471987. The reversal of 11471984 is 48917411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11471987) 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 7 ways as a sum of consecutive naturals, for example, 49982 + ... + 50210.

It is an arithmetic number, because the mean of its divisors is an integer number (581808).

Almost surely, 211471984 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 11471984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636160).

11471984 is an abundant number, since it is smaller than the sum of its proper divisors (11800336).

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

11471984 is a wasteful number, since it uses less digits than its factorization.

11471984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 11471984 is about 3387.0317388534. The cubic root of 11471984 is about 225.5344267280.

The spelling of 11471984 in words is "eleven million, four hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 62 101 124 202 229 248 404 458 496 808 916 1616 1832 3131 3664 6262 7099 12524 14198 23129 25048 28396 46258 50096 56792 92516 113584 185032 370064 716999 1433998 2867996 5735992 11471984