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14083776 = 263272499
BaseRepresentation
bin110101101110…
…011011000000
3222111112022100
4311232123000
512101140101
61221510400
7230465400
oct65563300
928445270
1014083776
117a4a393
124872400
132bc15c5
141c28800
151382e86
hexd6e6c0

14083776 has 126 divisors (see below), whose sum is σ = 47053500. Its totient is φ = 4015872.

The previous prime is 14083759. The next prime is 14083777. The reversal of 14083776 is 67738041.

14083776 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14083776.

It is not an unprimeable number, because it can be changed into a prime (14083777) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27975 + ... + 28473.

Almost surely, 214083776 is an apocalyptic number.

14083776 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 14083776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23526750).

14083776 is an abundant number, since it is smaller than the sum of its proper divisors (32969724).

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

14083776 is a wasteful number, since it uses less digits than its factorization.

14083776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 14083776 is about 3752.8357278197. The cubic root of 14083776 is about 241.4940137142.

It can be divided in two parts, 1408 and 3776, that added together give a square (5184 = 722).

The spelling of 14083776 in words is "fourteen million, eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 499 504 576 588 672 784 882 998 1008 1176 1344 1497 1568 1764 1996 2016 2352 2994 3136 3493 3528 3992 4032 4491 4704 5988 6986 7056 7984 8982 9408 10479 11976 13972 14112 15968 17964 20958 23952 24451 27944 28224 31437 31936 35928 41916 47904 48902 55888 62874 71856 73353 83832 95808 97804 111776 125748 143712 146706 167664 195608 220059 223552 251496 287424 293412 335328 391216 440118 502992 586824 670656 782432 880236 1005984 1173648 1564864 1760472 2011968 2347296 3520944 4694592 7041888 14083776