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14039936 = 271923251
BaseRepresentation
bin110101100011…
…101110000000
3222102022011122
4311203232000
512043234221
61220531412
7230223521
oct65435600
928368148
1014039936
117a1a459
124850b68
132ba7671
141c16848
151374eab
hexd63b80

14039936 has 64 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 6336000.

The previous prime is 14039933. The next prime is 14039939. The reversal of 14039936 is 63993041.

It is an interprime number because it is at equal distance from previous prime (14039933) and next prime (14039939).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14039896 and 14039905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14039933) 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, 55811 + ... + 56061.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 214039936 is an apocalyptic number.

14039936 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 14039936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

14039936 is an abundant number, since it is smaller than the sum of its proper divisors (16804864).

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

14039936 is a wasteful number, since it uses less digits than its factorization.

14039936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 14039936 is about 3746.9902588611. The cubic root of 14039936 is about 241.2431789529.

The spelling of 14039936 in words is "fourteen million, thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 251 304 368 437 502 608 736 874 1004 1216 1472 1748 2008 2432 2944 3496 4016 4769 5773 6992 8032 9538 11546 13984 16064 19076 23092 27968 32128 38152 46184 55936 76304 92368 109687 152608 184736 219374 305216 369472 438748 610432 738944 877496 1754992 3509984 7019968 14039936