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14013664 = 25773857
BaseRepresentation
bin110101011101…
…010011100000
3222100222010121
4311131103200
512041414124
61220210024
7230054110
oct65352340
928328117
1014013664
117a01745
124839914
132b98712
141c0b040
15136c2e4
hexd5d4e0

14013664 has 48 divisors (see below), whose sum is σ = 31999968. Its totient is φ = 5916672.

The previous prime is 14013617. The next prime is 14013679. The reversal of 14013664 is 46631041.

14013664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15924 + ... + 16780.

It is an arithmetic number, because the mean of its divisors is an integer number (666666).

Almost surely, 214013664 is an apocalyptic number.

14013664 is a gapful number since it is divisible by the number (14) 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 14013664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999984).

14013664 is an abundant number, since it is smaller than the sum of its proper divisors (17986304).

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

14013664 is an equidigital number, since it uses as much as digits as its factorization.

14013664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 14013664 is about 3743.4828702693. The cubic root of 14013664 is about 241.0926108836.

The spelling of 14013664 in words is "fourteen million, thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 857 1022 1168 1714 2044 2336 3428 4088 5999 6856 8176 11998 13712 16352 23996 27424 47992 62561 95984 125122 191968 250244 437927 500488 875854 1000976 1751708 2001952 3503416 7006832 14013664