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14117856 = 253199739
BaseRepresentation
bin110101110110…
…101111100000
3222120021001120
4311312233200
512103232411
61222332240
7230666634
oct65665740
928507046
1014117856
117a72a55
12488a080
132c03c7c
141c36dc4
15138d106
hexd76be0

14117856 has 48 divisors (see below), whose sum is σ = 37296000. Its totient is φ = 4675968.

The previous prime is 14117849. The next prime is 14117861. The reversal of 14117856 is 65871141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 18735 + ... + 19473.

It is an arithmetic number, because the mean of its divisors is an integer number (777000).

Almost surely, 214117856 is an apocalyptic number.

14117856 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 14117856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648000).

14117856 is an abundant number, since it is smaller than the sum of its proper divisors (23178144).

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

14117856 is a wasteful number, since it uses less digits than its factorization.

14117856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 943 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 14117856 is about 3757.3735507665. The cubic root of 14117856 is about 241.6886463296.

Adding to 14117856 its reverse (65871141), we get a palindrome (79988997).

The spelling of 14117856 in words is "fourteen million, one hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 739 796 1194 1478 1592 2217 2388 2956 3184 4434 4776 5912 6368 8868 9552 11824 17736 19104 23648 35472 70944 147061 294122 441183 588244 882366 1176488 1764732 2352976 3529464 4705952 7058928 14117856