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13986384 = 243674349
BaseRepresentation
bin110101010110…
…101001010000
3222022120201020
4311112221100
512040031014
61215435440
7226611426
oct65265120
928276636
1013986384
1179931a5
124825b80
132b89189
141c01116
1513641a9
hexd56a50

13986384 has 40 divisors (see below), whose sum is σ = 36679200. Its totient is φ = 4591488.

The previous prime is 13986377. The next prime is 13986389. The reversal of 13986384 is 48368931.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13986389) 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, 1042 + ... + 5390.

It is an arithmetic number, because the mean of its divisors is an integer number (916980).

Almost surely, 213986384 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 13986384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339600).

13986384 is an abundant number, since it is smaller than the sum of its proper divisors (22692816).

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

13986384 is a wasteful number, since it uses less digits than its factorization.

13986384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4421 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 13986384 is about 3739.8374296218. The cubic root of 13986384 is about 240.9360665565.

The spelling of 13986384 in words is "thirteen million, nine hundred eighty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 4349 8698 13047 17396 26094 34792 52188 69584 104376 208752 291383 582766 874149 1165532 1748298 2331064 3496596 4662128 6993192 13986384