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11820384 = 253313681
BaseRepresentation
bin101101000101…
…110101100000
3211020112112000
4231011311200
511011223014
61101204000
7202320522
oct55056540
924215460
1011820384
116743914
123b60600
1325ab314
1417d9a12
151087509
hexb45d60

11820384 has 48 divisors (see below), whose sum is σ = 34478640. Its totient is φ = 3939840.

The previous prime is 11820349. The next prime is 11820407. The reversal of 11820384 is 48302811.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5977 + ... + 7704.

It is an arithmetic number, because the mean of its divisors is an integer number (718305).

Almost surely, 211820384 is an apocalyptic number.

It is an amenable number.

11820384 is an abundant number, since it is smaller than the sum of its proper divisors (22658256).

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

11820384 is a wasteful number, since it uses less digits than its factorization.

11820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13700 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11820384 is about 3438.0785331345. The cubic root of 11820384 is about 227.7948292785.

It can be divided in two parts, 118 and 20384, that added together give a palindrome (20502).

The spelling of 11820384 in words is "eleven million, eight hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 13681 27362 41043 54724 82086 109448 123129 164172 218896 246258 328344 369387 437792 492516 656688 738774 985032 1313376 1477548 1970064 2955096 3940128 5910192 11820384