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14024064 = 27359619
BaseRepresentation
bin110101011111…
…110110000000
3222101111101210
4311133312000
512042232224
61220330120
7230126325
oct65376600
928344353
1014024064
117a0953a
124843940
132ba0382
141c10b4c
151370429
hexd5fd80

14024064 has 64 divisors (see below), whose sum is σ = 37944000. Its totient is φ = 4588032.

The previous prime is 14024057. The next prime is 14024093. The reversal of 14024064 is 46042041.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14024064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22347 + ... + 22965.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 214024064 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 14024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000).

14024064 is an abundant number, since it is smaller than the sum of its proper divisors (23919936).

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

14024064 is an equidigital number, since it uses as much as digits as its factorization.

14024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 14024064 is about 3744.8716933962. The cubic root of 14024064 is about 241.1522370491.

The spelling of 14024064 in words is "fourteen million, twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 619 708 944 1238 1416 1857 1888 2476 2832 3714 3776 4952 5664 7428 7552 9904 11328 14856 19808 22656 29712 36521 39616 59424 73042 79232 109563 118848 146084 219126 237696 292168 438252 584336 876504 1168672 1753008 2337344 3506016 4674688 7012032 14024064