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14129680 = 245239739
BaseRepresentation
bin110101111001…
…101000010000
3222120212021111
4311321220100
512104122210
61222503104
7231046255
oct65715020
928525244
1014129680
117a80924
124894a94
132c09476
141c3b42c
15139188a
hexd79a10

14129680 has 40 divisors (see below), whose sum is σ = 33033600. Its totient is φ = 5620608.

The previous prime is 14129653. The next prime is 14129683. The reversal of 14129680 is 8692141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14129683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18751 + ... + 19489.

It is an arithmetic number, because the mean of its divisors is an integer number (825840).

Almost surely, 214129680 is an apocalyptic number.

14129680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14129680 is an abundant number, since it is smaller than the sum of its proper divisors (18903920).

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

14129680 is a wasteful number, since it uses less digits than its factorization.

14129680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 14129680 is about 3758.9466609677. The cubic root of 14129680 is about 241.7561006022.

It can be divided in two parts, 141296 and 80, that added together give a square (141376 = 3762).

The spelling of 14129680 in words is "fourteen million, one hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 739 956 1195 1478 1912 2390 2956 3695 3824 4780 5912 7390 9560 11824 14780 19120 29560 59120 176621 353242 706484 883105 1412968 1766210 2825936 3532420 7064840 14129680