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14075712 = 263273491
BaseRepresentation
bin110101101100…
…011101000000
3222111010020200
4311230131000
512100410322
61221405200
7230433030
oct65543500
928433220
1014075712
117a44322
124869800
132bbaa31
141c258c0
1513808ac
hexd6c740

14075712 has 84 divisors (see below), whose sum is σ = 46122336. Its totient is φ = 4020480.

The previous prime is 14075707. The next prime is 14075741. The reversal of 14075712 is 21757041.

It is a tau number, because it is divible by the number of its divisors (84).

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 11 ways as a sum of consecutive naturals, for example, 2287 + ... + 5777.

Almost surely, 214075712 is an apocalyptic number.

14075712 is a gapful number since it is divisible by the number (12) 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 14075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23061168).

14075712 is an abundant number, since it is smaller than the sum of its proper divisors (32046624).

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

14075712 is a wasteful number, since it uses less digits than its factorization.

14075712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 14075712 is about 3751.7611864296. The cubic root of 14075712 is about 241.4479138728.

The spelling of 14075712 in words is "fourteen million, seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 3491 4032 6982 10473 13964 20946 24437 27928 31419 41892 48874 55856 62838 73311 83784 97748 111712 125676 146622 167568 195496 219933 223424 251352 293244 335136 390992 439866 502704 586488 670272 781984 879732 1005408 1172976 1563968 1759464 2010816 2345952 3518928 4691904 7037856 14075712