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14003864 = 2371132213
BaseRepresentation
bin110101011010…
…111010011000
3222100110200122
4311122322120
512041110424
61220052412
7230013410
oct65327230
928313618
1014003864
1179a5346
124834108
132b94114
141c07640
15136945e
hexd5ae98

14003864 has 32 divisors (see below), whose sum is σ = 30287520. Its totient is φ = 5945856.

The previous prime is 14003813. The next prime is 14003867. The reversal of 14003864 is 46830041.

It is a super-2 number, since 2×140038642 = 392216413860992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14003867) by changing a digit.

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, 5222 + ... + 7434.

It is an arithmetic number, because the mean of its divisors is an integer number (946485).

Almost surely, 214003864 is an apocalyptic number.

14003864 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 14003864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15143760).

14003864 is an abundant number, since it is smaller than the sum of its proper divisors (16283656).

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

14003864 is a wasteful number, since it uses less digits than its factorization.

14003864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 14003864 is about 3742.1736998702. The cubic root of 14003864 is about 241.0363976867.

The spelling of 14003864 in words is "fourteen million, three thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1582 2213 3164 4426 6328 8852 15491 17704 30982 61964 123928 250069 500138 1000276 1750483 2000552 3500966 7001932 14003864