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13923936 = 2532133719
BaseRepresentation
bin110101000111…
…011001100000
3222012102001100
4311013121200
512031031221
61214234400
7226231365
oct65073140
928172040
1013923936
117950294
1247b5a00
132b66920
141bc646c
151350926
hexd47660

13923936 has 72 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 4283136.

The previous prime is 13923913. The next prime is 13923937. The reversal of 13923936 is 63932931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13923936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13923937) 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 11 ways as a sum of consecutive naturals, for example, 1885 + ... + 5603.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 213923936 is an apocalyptic number.

13923936 is a gapful number since it is divisible by the number (16) 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 13923936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

13923936 is an abundant number, since it is smaller than the sum of its proper divisors (28729584).

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

13923936 is a wasteful number, since it uses less digits than its factorization.

13923936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3737 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 13923936 is about 3731.4790633206. The cubic root of 13923936 is about 240.5769452809.

The spelling of 13923936 in words is "thirteen million, nine hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3719 3744 7438 11157 14876 22314 29752 33471 44628 48347 59504 66942 89256 96694 119008 133884 145041 178512 193388 267768 290082 357024 386776 435123 535536 580164 773552 870246 1071072 1160328 1547104 1740492 2320656 3480984 4641312 6961968 13923936