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14133680 = 2451116061
BaseRepresentation
bin110101111010…
…100110110000
3222121001202122
4311322212300
512104234210
61222533412
7231064031
oct65724660
928531678
1014133680
117a83930
124897268
132c0b232
141c3ca88
151392b55
hexd7a9b0

14133680 has 40 divisors (see below), whose sum is σ = 35850384. Its totient is φ = 5139200.

The previous prime is 14133677. The next prime is 14133683. The reversal of 14133680 is 8633141.

It is an interprime number because it is at equal distance from previous prime (14133677) and next prime (14133683).

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 (14133683) 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, 7151 + ... + 8910.

Almost surely, 214133680 is an apocalyptic number.

14133680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14133680 is an abundant number, since it is smaller than the sum of its proper divisors (21716704).

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

14133680 is a wasteful number, since it uses less digits than its factorization.

14133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16085 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 14133680 is about 3759.4786872650. The cubic root of 14133680 is about 241.7789115261.

The spelling of 14133680 in words is "fourteen million, one hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 16061 32122 64244 80305 128488 160610 176671 256976 321220 353342 642440 706684 883355 1284880 1413368 1766710 2826736 3533420 7066840 14133680