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14111664 = 243741999
BaseRepresentation
bin110101110101…
…001110110000
3222112221120020
4311311032300
512103033124
61222243440
7230642610
oct65651660
928487506
1014111664
117a69336
124886580
132c011c8
141c34a40
15138b379
hexd753b0

14111664 has 40 divisors (see below), whose sum is σ = 41664000. Its totient is φ = 4031808.

The previous prime is 14111651. The next prime is 14111677. The reversal of 14111664 is 46611141.

It is an interprime number because it is at equal distance from previous prime (14111651) and next prime (14111677).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 20664 + ... + 21335.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 214111664 is an apocalyptic number.

14111664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14111664 is an abundant number, since it is smaller than the sum of its proper divisors (27552336).

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

14111664 is a wasteful number, since it uses less digits than its factorization.

14111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42017 (or 42011 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 14111664 is about 3756.5494805739. The cubic root of 14111664 is about 241.6533068054.

The spelling of 14111664 in words is "fourteen million, one hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 41999 83998 125997 167996 251994 293993 335992 503988 587986 671984 881979 1007976 1175972 1763958 2015952 2351944 3527916 4703888 7055832 14111664